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Finding the Fourth Proportional to 17,408,843.24, 24,024,421.38 and 9,569,211.41

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Solution

The fourth proportional to 17,408,843.24, 24,024,421.38 and 9,569,211.41 is: 13,205,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408,843.24 : 24,024,421.38 = 9,569,211.41 : x
  2. Step 2: Convert to fraction form
    17,408,843.24/24,024,421.38 = 9,569,211.41/x
  3. Step 3: Cross multiply
    17,408,843.24x = 24,024,421.38 × 9,569,211.41
  4. Step 4: Simplify right side
    17,408,843.24x = 229,894,767,230,262.72
  5. Step 5: Solve for x
    x = 229,894,767,230,262.72/17,408,843.24
  6. Step 6: Final answer
    x = 13,205,631.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.