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Finding the Fourth Proportional to 12,187.60, 18,280.05 and 3,423.40

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Solution

The fourth proportional to 12,187.60, 18,280.05 and 3,423.40 is: 5,134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.60 : 18,280.05 = 3,423.40 : x
  2. Step 2: Convert to fraction form
    12,187.60/18,280.05 = 3,423.40/x
  3. Step 3: Cross multiply
    12,187.60x = 18,280.05 × 3,423.40
  4. Step 4: Simplify right side
    12,187.60x = 62,579,923.17
  5. Step 5: Solve for x
    x = 62,579,923.17/12,187.60
  6. Step 6: Final answer
    x = 5,134.72

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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.