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Finding the Fourth Proportional to 11,543.81, 17,327.96 and 9,378.68

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Solution

The fourth proportional to 11,543.81, 17,327.96 and 9,378.68 is: 14,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.81 : 17,327.96 = 9,378.68 : x
  2. Step 2: Convert to fraction form
    11,543.81/17,327.96 = 9,378.68/x
  3. Step 3: Cross multiply
    11,543.81x = 17,327.96 × 9,378.68
  4. Step 4: Simplify right side
    11,543.81x = 162,513,258.36
  5. Step 5: Solve for x
    x = 162,513,258.36/11,543.81
  6. Step 6: Final answer
    x = 14,077.96

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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.