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Finding the Fourth Proportional to 12,617.88, 17,402.45 and 11,102.16

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Solution

The fourth proportional to 12,617.88, 17,402.45 and 11,102.16 is: 15,311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.88 : 17,402.45 = 11,102.16 : x
  2. Step 2: Convert to fraction form
    12,617.88/17,402.45 = 11,102.16/x
  3. Step 3: Cross multiply
    12,617.88x = 17,402.45 × 11,102.16
  4. Step 4: Simplify right side
    12,617.88x = 193,204,794.04
  5. Step 5: Solve for x
    x = 193,204,794.04/12,617.88
  6. Step 6: Final answer
    x = 15,311.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.