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Finding the Fourth Proportional to 14,915.88, 20,584.92 and 9,871.38

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Solution

The fourth proportional to 14,915.88, 20,584.92 and 9,871.38 is: 13,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,915.88 : 20,584.92 = 9,871.38 : x
  2. Step 2: Convert to fraction form
    14,915.88/20,584.92 = 9,871.38/x
  3. Step 3: Cross multiply
    14,915.88x = 20,584.92 × 9,871.38
  4. Step 4: Simplify right side
    14,915.88x = 203,201,567.59
  5. Step 5: Solve for x
    x = 203,201,567.59/14,915.88
  6. Step 6: Final answer
    x = 13,623.17

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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.