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Finding the Fourth Proportional to 13,114.58, 18,097.55 and 7,449.31

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Solution

The fourth proportional to 13,114.58, 18,097.55 and 7,449.31 is: 10,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.58 : 18,097.55 = 7,449.31 : x
  2. Step 2: Convert to fraction form
    13,114.58/18,097.55 = 7,449.31/x
  3. Step 3: Cross multiply
    13,114.58x = 18,097.55 × 7,449.31
  4. Step 4: Simplify right side
    13,114.58x = 134,814,278.81
  5. Step 5: Solve for x
    x = 134,814,278.81/13,114.58
  6. Step 6: Final answer
    x = 10,279.73

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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.