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Finding the Fourth Proportional to 29,340.96, 40,490.16 and 15,912

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Solution

The fourth proportional to 29,340.96, 40,490.16 and 15,912 is: 21,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,340.96 : 40,490.16 = 15,912 : x
  2. Step 2: Convert to fraction form
    29,340.96/40,490.16 = 15,912/x
  3. Step 3: Cross multiply
    29,340.96x = 40,490.16 × 15,912
  4. Step 4: Simplify right side
    29,340.96x = 644,279,425.92
  5. Step 5: Solve for x
    x = 644,279,425.92/29,340.96
  6. Step 6: Final answer
    x = 21,958.36

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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.