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Finding the Fourth Proportional to 25,673.28, 38,508 and 15,276

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Solution

The fourth proportional to 25,673.28, 38,508 and 15,276 is: 22,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,673.28 : 38,508 = 15,276 : x
  2. Step 2: Convert to fraction form
    25,673.28/38,508 = 15,276/x
  3. Step 3: Cross multiply
    25,673.28x = 38,508 × 15,276
  4. Step 4: Simplify right side
    25,673.28x = 588,248,208
  5. Step 5: Solve for x
    x = 588,248,208/25,673.28
  6. Step 6: Final answer
    x = 22,912.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.