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Finding the Fourth Proportional to 22,527.62, 31,087.14 and 12,318.46

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Solution

The fourth proportional to 22,527.62, 31,087.14 and 12,318.46 is: 16,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.62 : 31,087.14 = 12,318.46 : x
  2. Step 2: Convert to fraction form
    22,527.62/31,087.14 = 12,318.46/x
  3. Step 3: Cross multiply
    22,527.62x = 31,087.14 × 12,318.46
  4. Step 4: Simplify right side
    22,527.62x = 382,945,535.17
  5. Step 5: Solve for x
    x = 382,945,535.17/22,527.62
  6. Step 6: Final answer
    x = 16,998.93

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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.