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Finding the Fourth Proportional to 23,889.49, 32,972.06 and 15,823.24

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Solution

The fourth proportional to 23,889.49, 32,972.06 and 15,823.24 is: 21,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,889.49 : 32,972.06 = 15,823.24 : x
  2. Step 2: Convert to fraction form
    23,889.49/32,972.06 = 15,823.24/x
  3. Step 3: Cross multiply
    23,889.49x = 32,972.06 × 15,823.24
  4. Step 4: Simplify right side
    23,889.49x = 521,724,775.80
  5. Step 5: Solve for x
    x = 521,724,775.80/23,889.49
  6. Step 6: Final answer
    x = 21,839.09

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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.