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Finding the Fourth Proportional to 23,616.66, 32,591.20 and 13,006.32

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Solution

The fourth proportional to 23,616.66, 32,591.20 and 13,006.32 is: 17,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.66 : 32,591.20 = 13,006.32 : x
  2. Step 2: Convert to fraction form
    23,616.66/32,591.20 = 13,006.32/x
  3. Step 3: Cross multiply
    23,616.66x = 32,591.20 × 13,006.32
  4. Step 4: Simplify right side
    23,616.66x = 423,891,576.38
  5. Step 5: Solve for x
    x = 423,891,576.38/23,616.66
  6. Step 6: Final answer
    x = 17,948.84

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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.