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Finding the Fourth Proportional to 15,104, 22,666.24 and 5,376

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Solution

The fourth proportional to 15,104, 22,666.24 and 5,376 is: 8,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,104 : 22,666.24 = 5,376 : x
  2. Step 2: Convert to fraction form
    15,104/22,666.24 = 5,376/x
  3. Step 3: Cross multiply
    15,104x = 22,666.24 × 5,376
  4. Step 4: Simplify right side
    15,104x = 121,853,706.24
  5. Step 5: Solve for x
    x = 121,853,706.24/15,104
  6. Step 6: Final answer
    x = 8,067.64

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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.