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Finding the Fourth Proportional to 23,616.84, 32,591.24 and 13,006.38

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Solution

The fourth proportional to 23,616.84, 32,591.24 and 13,006.38 is: 17,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.84 : 32,591.24 = 13,006.38 : x
  2. Step 2: Convert to fraction form
    23,616.84/32,591.24 = 13,006.38/x
  3. Step 3: Cross multiply
    23,616.84x = 32,591.24 × 13,006.38
  4. Step 4: Simplify right side
    23,616.84x = 423,894,052.11
  5. Step 5: Solve for x
    x = 423,894,052.11/23,616.84
  6. Step 6: Final answer
    x = 17,948.80

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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.