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Finding the Fourth Proportional to 29,678.98, 40,957 and 16,250.24

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Solution

The fourth proportional to 29,678.98, 40,957 and 16,250.24 is: 22,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.98 : 40,957 = 16,250.24 : x
  2. Step 2: Convert to fraction form
    29,678.98/40,957 = 16,250.24/x
  3. Step 3: Cross multiply
    29,678.98x = 40,957 × 16,250.24
  4. Step 4: Simplify right side
    29,678.98x = 665,561,079.68
  5. Step 5: Solve for x
    x = 665,561,079.68/29,678.98
  6. Step 6: Final answer
    x = 22,425.34

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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.