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Finding the Fourth Proportional to 27,713.39, 38,244.45 and 15,138.14

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Solution

The fourth proportional to 27,713.39, 38,244.45 and 15,138.14 is: 20,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.39 : 38,244.45 = 15,138.14 : x
  2. Step 2: Convert to fraction form
    27,713.39/38,244.45 = 15,138.14/x
  3. Step 3: Cross multiply
    27,713.39x = 38,244.45 × 15,138.14
  4. Step 4: Simplify right side
    27,713.39x = 578,949,838.32
  5. Step 5: Solve for x
    x = 578,949,838.32/27,713.39
  6. Step 6: Final answer
    x = 20,890.62

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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.