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Finding the Fourth Proportional to 12,458.16, 18,687.20 and 4,138.81

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Solution

The fourth proportional to 12,458.16, 18,687.20 and 4,138.81 is: 6,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.16 : 18,687.20 = 4,138.81 : x
  2. Step 2: Convert to fraction form
    12,458.16/18,687.20 = 4,138.81/x
  3. Step 3: Cross multiply
    12,458.16x = 18,687.20 × 4,138.81
  4. Step 4: Simplify right side
    12,458.16x = 77,342,702.82
  5. Step 5: Solve for x
    x = 77,342,702.82/12,458.16
  6. Step 6: Final answer
    x = 6,208.20

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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.