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Finding the Fourth Proportional to 22,513.64, 31,067.04 and 13,082.84

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Solution

The fourth proportional to 22,513.64, 31,067.04 and 13,082.84 is: 18,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.64 : 31,067.04 = 13,082.84 : x
  2. Step 2: Convert to fraction form
    22,513.64/31,067.04 = 13,082.84/x
  3. Step 3: Cross multiply
    22,513.64x = 31,067.04 × 13,082.84
  4. Step 4: Simplify right side
    22,513.64x = 406,445,113.59
  5. Step 5: Solve for x
    x = 406,445,113.59/22,513.64
  6. Step 6: Final answer
    x = 18,053.28

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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.