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Finding the Fourth Proportional to 22,527.64, 31,086.89 and 12,455.48

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Solution

The fourth proportional to 22,527.64, 31,086.89 and 12,455.48 is: 17,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.64 : 31,086.89 = 12,455.48 : x
  2. Step 2: Convert to fraction form
    22,527.64/31,086.89 = 12,455.48/x
  3. Step 3: Cross multiply
    22,527.64x = 31,086.89 × 12,455.48
  4. Step 4: Simplify right side
    22,527.64x = 387,202,169.76
  5. Step 5: Solve for x
    x = 387,202,169.76/22,527.64
  6. Step 6: Final answer
    x = 17,187.87

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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.