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Finding the Fourth Proportional to 10,421.61, 15,614.22 and 8,677.83

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Solution

The fourth proportional to 10,421.61, 15,614.22 and 8,677.83 is: 13,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.61 : 15,614.22 = 8,677.83 : x
  2. Step 2: Convert to fraction form
    10,421.61/15,614.22 = 8,677.83/x
  3. Step 3: Cross multiply
    10,421.61x = 15,614.22 × 8,677.83
  4. Step 4: Simplify right side
    10,421.61x = 135,497,589.02
  5. Step 5: Solve for x
    x = 135,497,589.02/10,421.61
  6. Step 6: Final answer
    x = 13,001.60

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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.