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Finding the Fourth Proportional to 12,921.40, 17,824.92 and 8,447.76

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Solution

The fourth proportional to 12,921.40, 17,824.92 and 8,447.76 is: 11,653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.40 : 17,824.92 = 8,447.76 : x
  2. Step 2: Convert to fraction form
    12,921.40/17,824.92 = 8,447.76/x
  3. Step 3: Cross multiply
    12,921.40x = 17,824.92 × 8,447.76
  4. Step 4: Simplify right side
    12,921.40x = 150,580,646.18
  5. Step 5: Solve for x
    x = 150,580,646.18/12,921.40
  6. Step 6: Final answer
    x = 11,653.59

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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.