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Finding the Fourth Proportional to 25,248, 37,876.88 and 11,397

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Solution

The fourth proportional to 25,248, 37,876.88 and 11,397 is: 17,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,248 : 37,876.88 = 11,397 : x
  2. Step 2: Convert to fraction form
    25,248/37,876.88 = 11,397/x
  3. Step 3: Cross multiply
    25,248x = 37,876.88 × 11,397
  4. Step 4: Simplify right side
    25,248x = 431,682,801.36
  5. Step 5: Solve for x
    x = 431,682,801.36/25,248
  6. Step 6: Final answer
    x = 17,097.70

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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.