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Finding the Fourth Proportional to 15,574.38, 21,492.61 and 8,500.78

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Solution

The fourth proportional to 15,574.38, 21,492.61 and 8,500.78 is: 11,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.38 : 21,492.61 = 8,500.78 : x
  2. Step 2: Convert to fraction form
    15,574.38/21,492.61 = 8,500.78/x
  3. Step 3: Cross multiply
    15,574.38x = 21,492.61 × 8,500.78
  4. Step 4: Simplify right side
    15,574.38x = 182,703,954.85
  5. Step 5: Solve for x
    x = 182,703,954.85/15,574.38
  6. Step 6: Final answer
    x = 11,731.06

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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.