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Finding the Fourth Proportional to 16,824.24, 25,232.16 and 6,966.24

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Solution

The fourth proportional to 16,824.24, 25,232.16 and 6,966.24 is: 10,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.24 : 25,232.16 = 6,966.24 : x
  2. Step 2: Convert to fraction form
    16,824.24/25,232.16 = 6,966.24/x
  3. Step 3: Cross multiply
    16,824.24x = 25,232.16 × 6,966.24
  4. Step 4: Simplify right side
    16,824.24x = 175,773,282.28
  5. Step 5: Solve for x
    x = 175,773,282.28/16,824.24
  6. Step 6: Final answer
    x = 10,447.62

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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.