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Finding the Fourth Proportional to 29,691.36, 40,974.14 and 16,262.72

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Solution

The fourth proportional to 29,691.36, 40,974.14 and 16,262.72 is: 22,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691.36 : 40,974.14 = 16,262.72 : x
  2. Step 2: Convert to fraction form
    29,691.36/40,974.14 = 16,262.72/x
  3. Step 3: Cross multiply
    29,691.36x = 40,974.14 × 16,262.72
  4. Step 4: Simplify right side
    29,691.36x = 666,350,966.06
  5. Step 5: Solve for x
    x = 666,350,966.06/29,691.36
  6. Step 6: Final answer
    x = 22,442.59

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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.