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Finding the Fourth Proportional to 27,838.52, 38,417.46 and 15,263

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Solution

The fourth proportional to 27,838.52, 38,417.46 and 15,263 is: 21,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.52 : 38,417.46 = 15,263 : x
  2. Step 2: Convert to fraction form
    27,838.52/38,417.46 = 15,263/x
  3. Step 3: Cross multiply
    27,838.52x = 38,417.46 × 15,263
  4. Step 4: Simplify right side
    27,838.52x = 586,365,691.98
  5. Step 5: Solve for x
    x = 586,365,691.98/27,838.52
  6. Step 6: Final answer
    x = 21,063.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.