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Finding the Fourth Proportional to 12,097.20, 18,151.20 and 5,854.80

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Solution

The fourth proportional to 12,097.20, 18,151.20 and 5,854.80 is: 8,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.20 : 18,151.20 = 5,854.80 : x
  2. Step 2: Convert to fraction form
    12,097.20/18,151.20 = 5,854.80/x
  3. Step 3: Cross multiply
    12,097.20x = 18,151.20 × 5,854.80
  4. Step 4: Simplify right side
    12,097.20x = 106,271,645.76
  5. Step 5: Solve for x
    x = 106,271,645.76/12,097.20
  6. Step 6: Final answer
    x = 8,784.81

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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.