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Finding the Fourth Proportional to 18,757.52, 25,886.16 and 10,374

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Solution

The fourth proportional to 18,757.52, 25,886.16 and 10,374 is: 14,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,757.52 : 25,886.16 = 10,374 : x
  2. Step 2: Convert to fraction form
    18,757.52/25,886.16 = 10,374/x
  3. Step 3: Cross multiply
    18,757.52x = 25,886.16 × 10,374
  4. Step 4: Simplify right side
    18,757.52x = 268,543,023.84
  5. Step 5: Solve for x
    x = 268,543,023.84/18,757.52
  6. Step 6: Final answer
    x = 14,316.55

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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.