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Finding the Fourth Proportional to 16,358.60, 24,489.30 and 9,781.40

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Solution

The fourth proportional to 16,358.60, 24,489.30 and 9,781.40 is: 14,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358.60 : 24,489.30 = 9,781.40 : x
  2. Step 2: Convert to fraction form
    16,358.60/24,489.30 = 9,781.40/x
  3. Step 3: Cross multiply
    16,358.60x = 24,489.30 × 9,781.40
  4. Step 4: Simplify right side
    16,358.60x = 239,539,639.02
  5. Step 5: Solve for x
    x = 239,539,639.02/16,358.60
  6. Step 6: Final answer
    x = 14,643.04

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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.