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Finding the Fourth Proportional to 12,856.40, 17,741.47 and 7,191.16

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Solution

The fourth proportional to 12,856.40, 17,741.47 and 7,191.16 is: 9,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.40 : 17,741.47 = 7,191.16 : x
  2. Step 2: Convert to fraction form
    12,856.40/17,741.47 = 7,191.16/x
  3. Step 3: Cross multiply
    12,856.40x = 17,741.47 × 7,191.16
  4. Step 4: Simplify right side
    12,856.40x = 127,581,749.41
  5. Step 5: Solve for x
    x = 127,581,749.41/12,856.40
  6. Step 6: Final answer
    x = 9,923.60

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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.