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Finding the Fourth Proportional to 18,761.04, 25,889.22 and 10,377

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Solution

The fourth proportional to 18,761.04, 25,889.22 and 10,377 is: 14,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,761.04 : 25,889.22 = 10,377 : x
  2. Step 2: Convert to fraction form
    18,761.04/25,889.22 = 10,377/x
  3. Step 3: Cross multiply
    18,761.04x = 25,889.22 × 10,377
  4. Step 4: Simplify right side
    18,761.04x = 268,652,435.94
  5. Step 5: Solve for x
    x = 268,652,435.94/18,761.04
  6. Step 6: Final answer
    x = 14,319.70

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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.