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Finding the Fourth Proportional to 19,886.39, 29,822 and 8,787.02

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Solution

The fourth proportional to 19,886.39, 29,822 and 8,787.02 is: 13,177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886.39 : 29,822 = 8,787.02 : x
  2. Step 2: Convert to fraction form
    19,886.39/29,822 = 8,787.02/x
  3. Step 3: Cross multiply
    19,886.39x = 29,822 × 8,787.02
  4. Step 4: Simplify right side
    19,886.39x = 262,046,510.44
  5. Step 5: Solve for x
    x = 262,046,510.44/19,886.39
  6. Step 6: Final answer
    x = 13,177.18

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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.