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Finding the Fourth Proportional to 16,402.60, 24,587.10 and 8,069.80

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Solution

The fourth proportional to 16,402.60, 24,587.10 and 8,069.80 is: 12,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.60 : 24,587.10 = 8,069.80 : x
  2. Step 2: Convert to fraction form
    16,402.60/24,587.10 = 8,069.80/x
  3. Step 3: Cross multiply
    16,402.60x = 24,587.10 × 8,069.80
  4. Step 4: Simplify right side
    16,402.60x = 198,412,979.58
  5. Step 5: Solve for x
    x = 198,412,979.58/16,402.60
  6. Step 6: Final answer
    x = 12,096.43

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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.