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Finding the Fourth Proportional to 13,191.81, 18,204.72 and 7,142.11

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Solution

The fourth proportional to 13,191.81, 18,204.72 and 7,142.11 is: 9,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.81 : 18,204.72 = 7,142.11 : x
  2. Step 2: Convert to fraction form
    13,191.81/18,204.72 = 7,142.11/x
  3. Step 3: Cross multiply
    13,191.81x = 18,204.72 × 7,142.11
  4. Step 4: Simplify right side
    13,191.81x = 130,020,112.76
  5. Step 5: Solve for x
    x = 130,020,112.76/13,191.81
  6. Step 6: Final answer
    x = 9,856.13

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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.