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Finding the Fourth Proportional to 29,394, 40,566.28 and 16,148.56

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Solution

The fourth proportional to 29,394, 40,566.28 and 16,148.56 is: 22,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,394 : 40,566.28 = 16,148.56 : x
  2. Step 2: Convert to fraction form
    29,394/40,566.28 = 16,148.56/x
  3. Step 3: Cross multiply
    29,394x = 40,566.28 × 16,148.56
  4. Step 4: Simplify right side
    29,394x = 655,087,006.56
  5. Step 5: Solve for x
    x = 655,087,006.56/29,394
  6. Step 6: Final answer
    x = 22,286.42

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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.