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Finding the Fourth Proportional to 23,188.92, 31,990.51 and 15,632.49

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Solution

The fourth proportional to 23,188.92, 31,990.51 and 15,632.49 is: 21,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.92 : 31,990.51 = 15,632.49 : x
  2. Step 2: Convert to fraction form
    23,188.92/31,990.51 = 15,632.49/x
  3. Step 3: Cross multiply
    23,188.92x = 31,990.51 × 15,632.49
  4. Step 4: Simplify right side
    23,188.92x = 500,091,467.17
  5. Step 5: Solve for x
    x = 500,091,467.17/23,188.92
  6. Step 6: Final answer
    x = 21,565.97

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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.