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Finding the Fourth Proportional to 12,158.16, 18,232.07 and 4,761.44

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Solution

The fourth proportional to 12,158.16, 18,232.07 and 4,761.44 is: 7,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.16 : 18,232.07 = 4,761.44 : x
  2. Step 2: Convert to fraction form
    12,158.16/18,232.07 = 4,761.44/x
  3. Step 3: Cross multiply
    12,158.16x = 18,232.07 × 4,761.44
  4. Step 4: Simplify right side
    12,158.16x = 86,810,952.24
  5. Step 5: Solve for x
    x = 86,810,952.24/12,158.16
  6. Step 6: Final answer
    x = 7,140.14

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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.