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Finding the Fourth Proportional to 23,103.01, 31,882.17 and 12,492.64

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Solution

The fourth proportional to 23,103.01, 31,882.17 and 12,492.64 is: 17,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.01 : 31,882.17 = 12,492.64 : x
  2. Step 2: Convert to fraction form
    23,103.01/31,882.17 = 12,492.64/x
  3. Step 3: Cross multiply
    23,103.01x = 31,882.17 × 12,492.64
  4. Step 4: Simplify right side
    23,103.01x = 398,292,472.23
  5. Step 5: Solve for x
    x = 398,292,472.23/23,103.01
  6. Step 6: Final answer
    x = 17,239.85

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