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Finding the Fourth Proportional to 29,505.68, 40,713.27 and 16,928

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Solution

The fourth proportional to 29,505.68, 40,713.27 and 16,928 is: 23,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,505.68 : 40,713.27 = 16,928 : x
  2. Step 2: Convert to fraction form
    29,505.68/40,713.27 = 16,928/x
  3. Step 3: Cross multiply
    29,505.68x = 40,713.27 × 16,928
  4. Step 4: Simplify right side
    29,505.68x = 689,194,234.56
  5. Step 5: Solve for x
    x = 689,194,234.56/29,505.68
  6. Step 6: Final answer
    x = 23,358.02

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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.