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Finding the Fourth Proportional to 13,114.59, 18,098.46 and 7,448.43

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Solution

The fourth proportional to 13,114.59, 18,098.46 and 7,448.43 is: 10,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.59 : 18,098.46 = 7,448.43 : x
  2. Step 2: Convert to fraction form
    13,114.59/18,098.46 = 7,448.43/x
  3. Step 3: Cross multiply
    13,114.59x = 18,098.46 × 7,448.43
  4. Step 4: Simplify right side
    13,114.59x = 134,805,112.42
  5. Step 5: Solve for x
    x = 134,805,112.42/13,114.59
  6. Step 6: Final answer
    x = 10,279.02

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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.