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Finding the Fourth Proportional to 13,544.58, 18,691.74 and 7,575.60

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Solution

The fourth proportional to 13,544.58, 18,691.74 and 7,575.60 is: 10,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.58 : 18,691.74 = 7,575.60 : x
  2. Step 2: Convert to fraction form
    13,544.58/18,691.74 = 7,575.60/x
  3. Step 3: Cross multiply
    13,544.58x = 18,691.74 × 7,575.60
  4. Step 4: Simplify right side
    13,544.58x = 141,601,145.54
  5. Step 5: Solve for x
    x = 141,601,145.54/13,544.58
  6. Step 6: Final answer
    x = 10,454.45

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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.