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Finding the Fourth Proportional to 12,145.76, 18,177.50 and 7,468.74

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Solution

The fourth proportional to 12,145.76, 18,177.50 and 7,468.74 is: 11,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.76 : 18,177.50 = 7,468.74 : x
  2. Step 2: Convert to fraction form
    12,145.76/18,177.50 = 7,468.74/x
  3. Step 3: Cross multiply
    12,145.76x = 18,177.50 × 7,468.74
  4. Step 4: Simplify right side
    12,145.76x = 135,762,893.12
  5. Step 5: Solve for x
    x = 135,762,893.12/12,145.76
  6. Step 6: Final answer
    x = 11,177.80

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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.