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Finding the Fourth Proportional to 22,107.68, 30,498.28 and 13,150.16

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Solution

The fourth proportional to 22,107.68, 30,498.28 and 13,150.16 is: 18,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.68 : 30,498.28 = 13,150.16 : x
  2. Step 2: Convert to fraction form
    22,107.68/30,498.28 = 13,150.16/x
  3. Step 3: Cross multiply
    22,107.68x = 30,498.28 × 13,150.16
  4. Step 4: Simplify right side
    22,107.68x = 401,057,261.72
  5. Step 5: Solve for x
    x = 401,057,261.72/22,107.68
  6. Step 6: Final answer
    x = 18,141.08

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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.