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Finding the Fourth Proportional to 15,787.38, 21,786.54 and 8,713.75

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Solution

The fourth proportional to 15,787.38, 21,786.54 and 8,713.75 is: 12,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,787.38 : 21,786.54 = 8,713.75 : x
  2. Step 2: Convert to fraction form
    15,787.38/21,786.54 = 8,713.75/x
  3. Step 3: Cross multiply
    15,787.38x = 21,786.54 × 8,713.75
  4. Step 4: Simplify right side
    15,787.38x = 189,842,462.93
  5. Step 5: Solve for x
    x = 189,842,462.93/15,787.38
  6. Step 6: Final answer
    x = 12,024.95

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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.