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Finding the Fourth Proportional to 16,265.60, 24,398.40 and 6,405.20

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Solution

The fourth proportional to 16,265.60, 24,398.40 and 6,405.20 is: 9,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.60 : 24,398.40 = 6,405.20 : x
  2. Step 2: Convert to fraction form
    16,265.60/24,398.40 = 6,405.20/x
  3. Step 3: Cross multiply
    16,265.60x = 24,398.40 × 6,405.20
  4. Step 4: Simplify right side
    16,265.60x = 156,276,631.68
  5. Step 5: Solve for x
    x = 156,276,631.68/16,265.60
  6. Step 6: Final answer
    x = 9,607.80

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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.