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Finding the Fourth Proportional to 22,656.17, 31,265.34 and 12,447.34

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Solution

The fourth proportional to 22,656.17, 31,265.34 and 12,447.34 is: 17,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.17 : 31,265.34 = 12,447.34 : x
  2. Step 2: Convert to fraction form
    22,656.17/31,265.34 = 12,447.34/x
  3. Step 3: Cross multiply
    22,656.17x = 31,265.34 × 12,447.34
  4. Step 4: Simplify right side
    22,656.17x = 389,170,317.20
  5. Step 5: Solve for x
    x = 389,170,317.20/22,656.17
  6. Step 6: Final answer
    x = 17,177.23

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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.