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Finding the Fourth Proportional to 14,787.88, 20,407.38 and 8,073.64

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Solution

The fourth proportional to 14,787.88, 20,407.38 and 8,073.64 is: 11,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.88 : 20,407.38 = 8,073.64 : x
  2. Step 2: Convert to fraction form
    14,787.88/20,407.38 = 8,073.64/x
  3. Step 3: Cross multiply
    14,787.88x = 20,407.38 × 8,073.64
  4. Step 4: Simplify right side
    14,787.88x = 164,761,839.46
  5. Step 5: Solve for x
    x = 164,761,839.46/14,787.88
  6. Step 6: Final answer
    x = 11,141.68

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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.