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Finding the Fourth Proportional to 12,272.64, 18,404.52 and 5,253.14

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Solution

The fourth proportional to 12,272.64, 18,404.52 and 5,253.14 is: 7,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.64 : 18,404.52 = 5,253.14 : x
  2. Step 2: Convert to fraction form
    12,272.64/18,404.52 = 5,253.14/x
  3. Step 3: Cross multiply
    12,272.64x = 18,404.52 × 5,253.14
  4. Step 4: Simplify right side
    12,272.64x = 96,681,520.19
  5. Step 5: Solve for x
    x = 96,681,520.19/12,272.64
  6. Step 6: Final answer
    x = 7,877.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.