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Finding the Fourth Proportional to 24,595.20, 36,892.80 and 9,806.40

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Solution

The fourth proportional to 24,595.20, 36,892.80 and 9,806.40 is: 14,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,595.20 : 36,892.80 = 9,806.40 : x
  2. Step 2: Convert to fraction form
    24,595.20/36,892.80 = 9,806.40/x
  3. Step 3: Cross multiply
    24,595.20x = 36,892.80 × 9,806.40
  4. Step 4: Simplify right side
    24,595.20x = 361,785,553.92
  5. Step 5: Solve for x
    x = 361,785,553.92/24,595.20
  6. Step 6: Final answer
    x = 14,709.60

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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.