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Finding the Fourth Proportional to 17,408.79, 24,029.06 and 10,340.19

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Solution

The fourth proportional to 17,408.79, 24,029.06 and 10,340.19 is: 14,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.79 : 24,029.06 = 10,340.19 : x
  2. Step 2: Convert to fraction form
    17,408.79/24,029.06 = 10,340.19/x
  3. Step 3: Cross multiply
    17,408.79x = 24,029.06 × 10,340.19
  4. Step 4: Simplify right side
    17,408.79x = 248,464,994.22
  5. Step 5: Solve for x
    x = 248,464,994.22/17,408.79
  6. Step 6: Final answer
    x = 14,272.39

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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.