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Finding the Fourth Proportional to 12,615.95, 17,391.80 and 8,827.38

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Solution

The fourth proportional to 12,615.95, 17,391.80 and 8,827.38 is: 12,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.95 : 17,391.80 = 8,827.38 : x
  2. Step 2: Convert to fraction form
    12,615.95/17,391.80 = 8,827.38/x
  3. Step 3: Cross multiply
    12,615.95x = 17,391.80 × 8,827.38
  4. Step 4: Simplify right side
    12,615.95x = 153,523,983.35
  5. Step 5: Solve for x
    x = 153,523,983.35/12,615.95
  6. Step 6: Final answer
    x = 12,169.04

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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.