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Finding the Fourth Proportional to 27,583.38, 38,065.23 and 15,008.22

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Solution

The fourth proportional to 27,583.38, 38,065.23 and 15,008.22 is: 20,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,583.38 : 38,065.23 = 15,008.22 : x
  2. Step 2: Convert to fraction form
    27,583.38/38,065.23 = 15,008.22/x
  3. Step 3: Cross multiply
    27,583.38x = 38,065.23 × 15,008.22
  4. Step 4: Simplify right side
    27,583.38x = 571,291,346.19
  5. Step 5: Solve for x
    x = 571,291,346.19/27,583.38
  6. Step 6: Final answer
    x = 20,711.43

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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.