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Finding the Fourth Proportional to 12,155.64, 18,236.42 and 5,131.87

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Solution

The fourth proportional to 12,155.64, 18,236.42 and 5,131.87 is: 7,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.64 : 18,236.42 = 5,131.87 : x
  2. Step 2: Convert to fraction form
    12,155.64/18,236.42 = 5,131.87/x
  3. Step 3: Cross multiply
    12,155.64x = 18,236.42 × 5,131.87
  4. Step 4: Simplify right side
    12,155.64x = 93,586,936.71
  5. Step 5: Solve for x
    x = 93,586,936.71/12,155.64
  6. Step 6: Final answer
    x = 7,699.05

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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.