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Finding the Fourth Proportional to 12,432.76, 18,654.71 and 6,588

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Solution

The fourth proportional to 12,432.76, 18,654.71 and 6,588 is: 9,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.76 : 18,654.71 = 6,588 : x
  2. Step 2: Convert to fraction form
    12,432.76/18,654.71 = 6,588/x
  3. Step 3: Cross multiply
    12,432.76x = 18,654.71 × 6,588
  4. Step 4: Simplify right side
    12,432.76x = 122,897,196.54
  5. Step 5: Solve for x
    x = 122,897,196.54/12,432.76
  6. Step 6: Final answer
    x = 9,884.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.