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Finding the Fourth Proportional to 24,435.70, 36,638.70 and 9,627.55

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Solution

The fourth proportional to 24,435.70, 36,638.70 and 9,627.55 is: 14,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435.70 : 36,638.70 = 9,627.55 : x
  2. Step 2: Convert to fraction form
    24,435.70/36,638.70 = 9,627.55/x
  3. Step 3: Cross multiply
    24,435.70x = 36,638.70 × 9,627.55
  4. Step 4: Simplify right side
    24,435.70x = 352,740,916.19
  5. Step 5: Solve for x
    x = 352,740,916.19/24,435.70
  6. Step 6: Final answer
    x = 14,435.47

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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.