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Finding the Fourth Proportional to 24,408, 36,590.28 and 8,822.16

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Solution

The fourth proportional to 24,408, 36,590.28 and 8,822.16 is: 13,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408 : 36,590.28 = 8,822.16 : x
  2. Step 2: Convert to fraction form
    24,408/36,590.28 = 8,822.16/x
  3. Step 3: Cross multiply
    24,408x = 36,590.28 × 8,822.16
  4. Step 4: Simplify right side
    24,408x = 322,805,304.60
  5. Step 5: Solve for x
    x = 322,805,304.60/24,408
  6. Step 6: Final answer
    x = 13,225.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.