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Finding the Fourth Proportional to 12,852.56, 19,265.70 and 7,294.16

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Solution

The fourth proportional to 12,852.56, 19,265.70 and 7,294.16 is: 10,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.56 : 19,265.70 = 7,294.16 : x
  2. Step 2: Convert to fraction form
    12,852.56/19,265.70 = 7,294.16/x
  3. Step 3: Cross multiply
    12,852.56x = 19,265.70 × 7,294.16
  4. Step 4: Simplify right side
    12,852.56x = 140,527,098.31
  5. Step 5: Solve for x
    x = 140,527,098.31/12,852.56
  6. Step 6: Final answer
    x = 10,933.78

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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.