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Finding the Fourth Proportional to 12,616.41, 17,417.87 and 8,373.23

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Solution

The fourth proportional to 12,616.41, 17,417.87 and 8,373.23 is: 11,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.41 : 17,417.87 = 8,373.23 : x
  2. Step 2: Convert to fraction form
    12,616.41/17,417.87 = 8,373.23/x
  3. Step 3: Cross multiply
    12,616.41x = 17,417.87 × 8,373.23
  4. Step 4: Simplify right side
    12,616.41x = 145,843,799.38
  5. Step 5: Solve for x
    x = 145,843,799.38/12,616.41
  6. Step 6: Final answer
    x = 11,559.85

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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.