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Finding the Fourth Proportional to 12,138.59, 18,210.02 and 5,022.81

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Solution

The fourth proportional to 12,138.59, 18,210.02 and 5,022.81 is: 7,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.59 : 18,210.02 = 5,022.81 : x
  2. Step 2: Convert to fraction form
    12,138.59/18,210.02 = 5,022.81/x
  3. Step 3: Cross multiply
    12,138.59x = 18,210.02 × 5,022.81
  4. Step 4: Simplify right side
    12,138.59x = 91,465,445.44
  5. Step 5: Solve for x
    x = 91,465,445.44/12,138.59
  6. Step 6: Final answer
    x = 7,535.09

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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.