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Finding the Fourth Proportional to 12,856.66, 17,742.31 and 7,551.56

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Solution

The fourth proportional to 12,856.66, 17,742.31 and 7,551.56 is: 10,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.66 : 17,742.31 = 7,551.56 : x
  2. Step 2: Convert to fraction form
    12,856.66/17,742.31 = 7,551.56/x
  3. Step 3: Cross multiply
    12,856.66x = 17,742.31 × 7,551.56
  4. Step 4: Simplify right side
    12,856.66x = 133,982,143.98
  5. Step 5: Solve for x
    x = 133,982,143.98/12,856.66
  6. Step 6: Final answer
    x = 10,421.23

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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.