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Finding the Fourth Proportional to 21,874.16, 32,824.68 and 10,025.84

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Solution

The fourth proportional to 21,874.16, 32,824.68 and 10,025.84 is: 15,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.16 : 32,824.68 = 10,025.84 : x
  2. Step 2: Convert to fraction form
    21,874.16/32,824.68 = 10,025.84/x
  3. Step 3: Cross multiply
    21,874.16x = 32,824.68 × 10,025.84
  4. Step 4: Simplify right side
    21,874.16x = 329,094,989.73
  5. Step 5: Solve for x
    x = 329,094,989.73/21,874.16
  6. Step 6: Final answer
    x = 15,044.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.