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Finding the Fourth Proportional to 12,474.93, 18,712.33 and 5,077.63

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Solution

The fourth proportional to 12,474.93, 18,712.33 and 5,077.63 is: 7,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.93 : 18,712.33 = 5,077.63 : x
  2. Step 2: Convert to fraction form
    12,474.93/18,712.33 = 5,077.63/x
  3. Step 3: Cross multiply
    12,474.93x = 18,712.33 × 5,077.63
  4. Step 4: Simplify right side
    12,474.93x = 95,014,288.18
  5. Step 5: Solve for x
    x = 95,014,288.18/12,474.93
  6. Step 6: Final answer
    x = 7,616.42

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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.