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Finding the Fourth Proportional to 12,498.33, 18,752.67 and 5,474.70

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Solution

The fourth proportional to 12,498.33, 18,752.67 and 5,474.70 is: 8,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,498.33 : 18,752.67 = 5,474.70 : x
  2. Step 2: Convert to fraction form
    12,498.33/18,752.67 = 5,474.70/x
  3. Step 3: Cross multiply
    12,498.33x = 18,752.67 × 5,474.70
  4. Step 4: Simplify right side
    12,498.33x = 102,665,242.45
  5. Step 5: Solve for x
    x = 102,665,242.45/12,498.33
  6. Step 6: Final answer
    x = 8,214.32

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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.