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Finding the Fourth Proportional to 24,428.60, 36,635.70 and 9,632.60

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Solution

The fourth proportional to 24,428.60, 36,635.70 and 9,632.60 is: 14,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.60 : 36,635.70 = 9,632.60 : x
  2. Step 2: Convert to fraction form
    24,428.60/36,635.70 = 9,632.60/x
  3. Step 3: Cross multiply
    24,428.60x = 36,635.70 × 9,632.60
  4. Step 4: Simplify right side
    24,428.60x = 352,897,043.82
  5. Step 5: Solve for x
    x = 352,897,043.82/24,428.60
  6. Step 6: Final answer
    x = 14,446.06

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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.