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Finding the Fourth Proportional to 27,713.25, 38,244.48 and 15,138

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Solution

The fourth proportional to 27,713.25, 38,244.48 and 15,138 is: 20,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.25 : 38,244.48 = 15,138 : x
  2. Step 2: Convert to fraction form
    27,713.25/38,244.48 = 15,138/x
  3. Step 3: Cross multiply
    27,713.25x = 38,244.48 × 15,138
  4. Step 4: Simplify right side
    27,713.25x = 578,944,938.24
  5. Step 5: Solve for x
    x = 578,944,938.24/27,713.25
  6. Step 6: Final answer
    x = 20,890.55

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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.