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Finding the Fourth Proportional to 23,264.42, 32,103.56 and 12,654.04

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Solution

The fourth proportional to 23,264.42, 32,103.56 and 12,654.04 is: 17,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.42 : 32,103.56 = 12,654.04 : x
  2. Step 2: Convert to fraction form
    23,264.42/32,103.56 = 12,654.04/x
  3. Step 3: Cross multiply
    23,264.42x = 32,103.56 × 12,654.04
  4. Step 4: Simplify right side
    23,264.42x = 406,239,732.38
  5. Step 5: Solve for x
    x = 406,239,732.38/23,264.42
  6. Step 6: Final answer
    x = 17,461.85

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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.