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Finding the Fourth Proportional to 12,813.50, 17,685.87 and 7,227.74

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Solution

The fourth proportional to 12,813.50, 17,685.87 and 7,227.74 is: 9,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.50 : 17,685.87 = 7,227.74 : x
  2. Step 2: Convert to fraction form
    12,813.50/17,685.87 = 7,227.74/x
  3. Step 3: Cross multiply
    12,813.50x = 17,685.87 × 7,227.74
  4. Step 4: Simplify right side
    12,813.50x = 127,828,870.03
  5. Step 5: Solve for x
    x = 127,828,870.03/12,813.50
  6. Step 6: Final answer
    x = 9,976.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.