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Finding the Fourth Proportional to 22,711.50, 34,094.61 and 16,391.07

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Solution

The fourth proportional to 22,711.50, 34,094.61 and 16,391.07 is: 24,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.50 : 34,094.61 = 16,391.07 : x
  2. Step 2: Convert to fraction form
    22,711.50/34,094.61 = 16,391.07/x
  3. Step 3: Cross multiply
    22,711.50x = 34,094.61 × 16,391.07
  4. Step 4: Simplify right side
    22,711.50x = 558,847,139.13
  5. Step 5: Solve for x
    x = 558,847,139.13/22,711.50
  6. Step 6: Final answer
    x = 24,606.35

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Why These Related Problems?

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