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Finding the Fourth Proportional to 12,734.31, 17,573.32 and 7,428.11

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Solution

The fourth proportional to 12,734.31, 17,573.32 and 7,428.11 is: 10,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.31 : 17,573.32 = 7,428.11 : x
  2. Step 2: Convert to fraction form
    12,734.31/17,573.32 = 7,428.11/x
  3. Step 3: Cross multiply
    12,734.31x = 17,573.32 × 7,428.11
  4. Step 4: Simplify right side
    12,734.31x = 130,536,475.44
  5. Step 5: Solve for x
    x = 130,536,475.44/12,734.31
  6. Step 6: Final answer
    x = 10,250.77

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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.