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Finding the Fourth Proportional to 22,666, 33,961.08 and 16,060.24

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Solution

The fourth proportional to 22,666, 33,961.08 and 16,060.24 is: 24,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666 : 33,961.08 = 16,060.24 : x
  2. Step 2: Convert to fraction form
    22,666/33,961.08 = 16,060.24/x
  3. Step 3: Cross multiply
    22,666x = 33,961.08 × 16,060.24
  4. Step 4: Simplify right side
    22,666x = 545,423,095.46
  5. Step 5: Solve for x
    x = 545,423,095.46/22,666
  6. Step 6: Final answer
    x = 24,063.49

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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.