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Finding the Fourth Proportional to 24,428.40, 36,642.60 and 9,637.80

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Solution

The fourth proportional to 24,428.40, 36,642.60 and 9,637.80 is: 14,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.40 : 36,642.60 = 9,637.80 : x
  2. Step 2: Convert to fraction form
    24,428.40/36,642.60 = 9,637.80/x
  3. Step 3: Cross multiply
    24,428.40x = 36,642.60 × 9,637.80
  4. Step 4: Simplify right side
    24,428.40x = 353,154,050.28
  5. Step 5: Solve for x
    x = 353,154,050.28/24,428.40
  6. Step 6: Final answer
    x = 14,456.70

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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.