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Finding the Fourth Proportional to 13,521.86, 18,658.89 and 7,931.78

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Solution

The fourth proportional to 13,521.86, 18,658.89 and 7,931.78 is: 10,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,521.86 : 18,658.89 = 7,931.78 : x
  2. Step 2: Convert to fraction form
    13,521.86/18,658.89 = 7,931.78/x
  3. Step 3: Cross multiply
    13,521.86x = 18,658.89 × 7,931.78
  4. Step 4: Simplify right side
    13,521.86x = 147,998,210.52
  5. Step 5: Solve for x
    x = 147,998,210.52/13,521.86
  6. Step 6: Final answer
    x = 10,945.11

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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.