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Finding the Fourth Proportional to 16,520.86, 24,770.76 and 9,130.42

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Solution

The fourth proportional to 16,520.86, 24,770.76 and 9,130.42 is: 13,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520.86 : 24,770.76 = 9,130.42 : x
  2. Step 2: Convert to fraction form
    16,520.86/24,770.76 = 9,130.42/x
  3. Step 3: Cross multiply
    16,520.86x = 24,770.76 × 9,130.42
  4. Step 4: Simplify right side
    16,520.86x = 226,167,442.52
  5. Step 5: Solve for x
    x = 226,167,442.52/16,520.86
  6. Step 6: Final answer
    x = 13,689.81

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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.