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Finding the Fourth Proportional to 16,265.60, 24,398.40 and 9,688.40

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Solution

The fourth proportional to 16,265.60, 24,398.40 and 9,688.40 is: 14,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.60 : 24,398.40 = 9,688.40 : x
  2. Step 2: Convert to fraction form
    16,265.60/24,398.40 = 9,688.40/x
  3. Step 3: Cross multiply
    16,265.60x = 24,398.40 × 9,688.40
  4. Step 4: Simplify right side
    16,265.60x = 236,381,458.56
  5. Step 5: Solve for x
    x = 236,381,458.56/16,265.60
  6. Step 6: Final answer
    x = 14,532.60

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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.