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Finding the Fourth Proportional to 12,856.28, 17,742.53 and 7,191.54

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Solution

The fourth proportional to 12,856.28, 17,742.53 and 7,191.54 is: 9,924.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.28 : 17,742.53 = 7,191.54 : x
  2. Step 2: Convert to fraction form
    12,856.28/17,742.53 = 7,191.54/x
  3. Step 3: Cross multiply
    12,856.28x = 17,742.53 × 7,191.54
  4. Step 4: Simplify right side
    12,856.28x = 127,596,078.24
  5. Step 5: Solve for x
    x = 127,596,078.24/12,856.28
  6. Step 6: Final answer
    x = 9,924.81

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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.