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Finding the Fourth Proportional to 18,761.73, 25,890.98 and 10,264.02

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Solution

The fourth proportional to 18,761.73, 25,890.98 and 10,264.02 is: 14,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,761.73 : 25,890.98 = 10,264.02 : x
  2. Step 2: Convert to fraction form
    18,761.73/25,890.98 = 10,264.02/x
  3. Step 3: Cross multiply
    18,761.73x = 25,890.98 × 10,264.02
  4. Step 4: Simplify right side
    18,761.73x = 265,745,445.86
  5. Step 5: Solve for x
    x = 265,745,445.86/18,761.73
  6. Step 6: Final answer
    x = 14,164.23

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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.