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Finding the Fourth Proportional to 25,883.76, 38,761.88 and 14,763

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Solution

The fourth proportional to 25,883.76, 38,761.88 and 14,763 is: 22,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,883.76 : 38,761.88 = 14,763 : x
  2. Step 2: Convert to fraction form
    25,883.76/38,761.88 = 14,763/x
  3. Step 3: Cross multiply
    25,883.76x = 38,761.88 × 14,763
  4. Step 4: Simplify right side
    25,883.76x = 572,241,634.44
  5. Step 5: Solve for x
    x = 572,241,634.44/25,883.76
  6. Step 6: Final answer
    x = 22,108.13

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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.