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Finding the Fourth Proportional to 12,658.86, 17,463.87 and 8,468.46

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Solution

The fourth proportional to 12,658.86, 17,463.87 and 8,468.46 is: 11,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.86 : 17,463.87 = 8,468.46 : x
  2. Step 2: Convert to fraction form
    12,658.86/17,463.87 = 8,468.46/x
  3. Step 3: Cross multiply
    12,658.86x = 17,463.87 × 8,468.46
  4. Step 4: Simplify right side
    12,658.86x = 147,892,084.54
  5. Step 5: Solve for x
    x = 147,892,084.54/12,658.86
  6. Step 6: Final answer
    x = 11,682.89

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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.