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Finding the Fourth Proportional to 16,672.16, 23,006.49 and 9,600.86

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Solution

The fourth proportional to 16,672.16, 23,006.49 and 9,600.86 is: 13,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,672.16 : 23,006.49 = 9,600.86 : x
  2. Step 2: Convert to fraction form
    16,672.16/23,006.49 = 9,600.86/x
  3. Step 3: Cross multiply
    16,672.16x = 23,006.49 × 9,600.86
  4. Step 4: Simplify right side
    16,672.16x = 220,881,974.55
  5. Step 5: Solve for x
    x = 220,881,974.55/16,672.16
  6. Step 6: Final answer
    x = 13,248.56

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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.