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Finding the Fourth Proportional to 12,851.56, 19,264.21 and 7,293.17

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Solution

The fourth proportional to 12,851.56, 19,264.21 and 7,293.17 is: 10,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.56 : 19,264.21 = 7,293.17 : x
  2. Step 2: Convert to fraction form
    12,851.56/19,264.21 = 7,293.17/x
  3. Step 3: Cross multiply
    12,851.56x = 19,264.21 × 7,293.17
  4. Step 4: Simplify right side
    12,851.56x = 140,497,062.12
  5. Step 5: Solve for x
    x = 140,497,062.12/12,851.56
  6. Step 6: Final answer
    x = 10,932.30

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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.