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Finding the Fourth Proportional to 13,191.68, 18,200.96 and 7,884.16

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Solution

The fourth proportional to 13,191.68, 18,200.96 and 7,884.16 is: 10,878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.68 : 18,200.96 = 7,884.16 : x
  2. Step 2: Convert to fraction form
    13,191.68/18,200.96 = 7,884.16/x
  3. Step 3: Cross multiply
    13,191.68x = 18,200.96 × 7,884.16
  4. Step 4: Simplify right side
    13,191.68x = 143,499,280.79
  5. Step 5: Solve for x
    x = 143,499,280.79/13,191.68
  6. Step 6: Final answer
    x = 10,878.01

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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.