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Finding the Fourth Proportional to 24,424.61, 36,612.30 and 9,627.80

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Solution

The fourth proportional to 24,424.61, 36,612.30 and 9,627.80 is: 14,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.61 : 36,612.30 = 9,627.80 : x
  2. Step 2: Convert to fraction form
    24,424.61/36,612.30 = 9,627.80/x
  3. Step 3: Cross multiply
    24,424.61x = 36,612.30 × 9,627.80
  4. Step 4: Simplify right side
    24,424.61x = 352,495,901.94
  5. Step 5: Solve for x
    x = 352,495,901.94/24,424.61
  6. Step 6: Final answer
    x = 14,432.00

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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.