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Finding the Fourth Proportional to 18,471, 25,490.13 and 10,087.50

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Solution

The fourth proportional to 18,471, 25,490.13 and 10,087.50 is: 13,920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471 : 25,490.13 = 10,087.50 : x
  2. Step 2: Convert to fraction form
    18,471/25,490.13 = 10,087.50/x
  3. Step 3: Cross multiply
    18,471x = 25,490.13 × 10,087.50
  4. Step 4: Simplify right side
    18,471x = 257,131,686.38
  5. Step 5: Solve for x
    x = 257,131,686.38/18,471
  6. Step 6: Final answer
    x = 13,920.83

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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.