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Finding the Fourth Proportional to 22,682.25, 31,301.51 and 13,250.88

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Solution

The fourth proportional to 22,682.25, 31,301.51 and 13,250.88 is: 18,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.25 : 31,301.51 = 13,250.88 : x
  2. Step 2: Convert to fraction form
    22,682.25/31,301.51 = 13,250.88/x
  3. Step 3: Cross multiply
    22,682.25x = 31,301.51 × 13,250.88
  4. Step 4: Simplify right side
    22,682.25x = 414,772,486.57
  5. Step 5: Solve for x
    x = 414,772,486.57/22,682.25
  6. Step 6: Final answer
    x = 18,286.21

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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.