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Finding the Fourth Proportional to 13,520.68, 18,658.12 and 7,552.32

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Solution

The fourth proportional to 13,520.68, 18,658.12 and 7,552.32 is: 10,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520.68 : 18,658.12 = 7,552.32 : x
  2. Step 2: Convert to fraction form
    13,520.68/18,658.12 = 7,552.32/x
  3. Step 3: Cross multiply
    13,520.68x = 18,658.12 × 7,552.32
  4. Step 4: Simplify right side
    13,520.68x = 140,912,092.84
  5. Step 5: Solve for x
    x = 140,912,092.84/13,520.68
  6. Step 6: Final answer
    x = 10,421.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.