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Finding the Fourth Proportional to 23,882.95, 32,967.51 and 20,512.24

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Solution

The fourth proportional to 23,882.95, 32,967.51 and 20,512.24 is: 28,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.95 : 32,967.51 = 20,512.24 : x
  2. Step 2: Convert to fraction form
    23,882.95/32,967.51 = 20,512.24/x
  3. Step 3: Cross multiply
    23,882.95x = 32,967.51 × 20,512.24
  4. Step 4: Simplify right side
    23,882.95x = 676,237,317.98
  5. Step 5: Solve for x
    x = 676,237,317.98/23,882.95
  6. Step 6: Final answer
    x = 28,314.65

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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.