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Finding the Fourth Proportional to 16,432.68, 22,679.70 and 10,467

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Solution

The fourth proportional to 16,432.68, 22,679.70 and 10,467 is: 14,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432.68 : 22,679.70 = 10,467 : x
  2. Step 2: Convert to fraction form
    16,432.68/22,679.70 = 10,467/x
  3. Step 3: Cross multiply
    16,432.68x = 22,679.70 × 10,467
  4. Step 4: Simplify right side
    16,432.68x = 237,388,419.90
  5. Step 5: Solve for x
    x = 237,388,419.90/16,432.68
  6. Step 6: Final answer
    x = 14,446.12

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1.5x scale

Why These Related Problems?

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