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Finding the Fourth Proportional to 23,061.68, 31,824.80 and 12,990.16

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Solution

The fourth proportional to 23,061.68, 31,824.80 and 12,990.16 is: 17,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,061.68 : 31,824.80 = 12,990.16 : x
  2. Step 2: Convert to fraction form
    23,061.68/31,824.80 = 12,990.16/x
  3. Step 3: Cross multiply
    23,061.68x = 31,824.80 × 12,990.16
  4. Step 4: Simplify right side
    23,061.68x = 413,409,243.97
  5. Step 5: Solve for x
    x = 413,409,243.97/23,061.68
  6. Step 6: Final answer
    x = 17,926.24

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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.