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Finding the Fourth Proportional to 22,985.24, 31,691.80 and 17,882.24

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Solution

The fourth proportional to 22,985.24, 31,691.80 and 17,882.24 is: 24,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.24 : 31,691.80 = 17,882.24 : x
  2. Step 2: Convert to fraction form
    22,985.24/31,691.80 = 17,882.24/x
  3. Step 3: Cross multiply
    22,985.24x = 31,691.80 × 17,882.24
  4. Step 4: Simplify right side
    22,985.24x = 566,720,373.63
  5. Step 5: Solve for x
    x = 566,720,373.63/22,985.24
  6. Step 6: Final answer
    x = 24,655.84

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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.