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Finding the Fourth Proportional to 15,892.32, 21,931.56 and 8,819.44

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Solution

The fourth proportional to 15,892.32, 21,931.56 and 8,819.44 is: 12,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.32 : 21,931.56 = 8,819.44 : x
  2. Step 2: Convert to fraction form
    15,892.32/21,931.56 = 8,819.44/x
  3. Step 3: Cross multiply
    15,892.32x = 21,931.56 × 8,819.44
  4. Step 4: Simplify right side
    15,892.32x = 193,424,077.53
  5. Step 5: Solve for x
    x = 193,424,077.53/15,892.32
  6. Step 6: Final answer
    x = 12,170.92

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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.