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Finding the Fourth Proportional to 12,145.78, 18,177.52 and 7,468.75

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Solution

The fourth proportional to 12,145.78, 18,177.52 and 7,468.75 is: 11,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.78 : 18,177.52 = 7,468.75 : x
  2. Step 2: Convert to fraction form
    12,145.78/18,177.52 = 7,468.75/x
  3. Step 3: Cross multiply
    12,145.78x = 18,177.52 × 7,468.75
  4. Step 4: Simplify right side
    12,145.78x = 135,763,356.55
  5. Step 5: Solve for x
    x = 135,763,356.55/12,145.78
  6. Step 6: Final answer
    x = 11,177.82

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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.