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Finding the Fourth Proportional to 22,653.65, 31,251.19 and 15,943

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Solution

The fourth proportional to 22,653.65, 31,251.19 and 15,943 is: 21,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653.65 : 31,251.19 = 15,943 : x
  2. Step 2: Convert to fraction form
    22,653.65/31,251.19 = 15,943/x
  3. Step 3: Cross multiply
    22,653.65x = 31,251.19 × 15,943
  4. Step 4: Simplify right side
    22,653.65x = 498,237,722.17
  5. Step 5: Solve for x
    x = 498,237,722.17/22,653.65
  6. Step 6: Final answer
    x = 21,993.71

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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.