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Finding the Fourth Proportional to 29,132.26, 40,202.38 and 16,557

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Solution

The fourth proportional to 29,132.26, 40,202.38 and 16,557 is: 22,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,132.26 : 40,202.38 = 16,557 : x
  2. Step 2: Convert to fraction form
    29,132.26/40,202.38 = 16,557/x
  3. Step 3: Cross multiply
    29,132.26x = 40,202.38 × 16,557
  4. Step 4: Simplify right side
    29,132.26x = 665,630,805.66
  5. Step 5: Solve for x
    x = 665,630,805.66/29,132.26
  6. Step 6: Final answer
    x = 22,848.58

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Why These Related Problems?

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