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Finding the Fourth Proportional to 29,138.32, 43,703.16 and 10,666

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Solution

The fourth proportional to 29,138.32, 43,703.16 and 10,666 is: 15,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138.32 : 43,703.16 = 10,666 : x
  2. Step 2: Convert to fraction form
    29,138.32/43,703.16 = 10,666/x
  3. Step 3: Cross multiply
    29,138.32x = 43,703.16 × 10,666
  4. Step 4: Simplify right side
    29,138.32x = 466,137,904.56
  5. Step 5: Solve for x
    x = 466,137,904.56/29,138.32
  6. Step 6: Final answer
    x = 15,997.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.