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Finding the Fourth Proportional to 13,543.83, 18,694.49 and 7,881.14

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Solution

The fourth proportional to 13,543.83, 18,694.49 and 7,881.14 is: 10,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.83 : 18,694.49 = 7,881.14 : x
  2. Step 2: Convert to fraction form
    13,543.83/18,694.49 = 7,881.14/x
  3. Step 3: Cross multiply
    13,543.83x = 18,694.49 × 7,881.14
  4. Step 4: Simplify right side
    13,543.83x = 147,333,892.92
  5. Step 5: Solve for x
    x = 147,333,892.92/13,543.83
  6. Step 6: Final answer
    x = 10,878.30

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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.