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Finding the Fourth Proportional to 12,807.20, 17,675.67 and 7,504.13

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Solution

The fourth proportional to 12,807.20, 17,675.67 and 7,504.13 is: 10,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.20 : 17,675.67 = 7,504.13 : x
  2. Step 2: Convert to fraction form
    12,807.20/17,675.67 = 7,504.13/x
  3. Step 3: Cross multiply
    12,807.20x = 17,675.67 × 7,504.13
  4. Step 4: Simplify right side
    12,807.20x = 132,640,437.14
  5. Step 5: Solve for x
    x = 132,640,437.14/12,807.20
  6. Step 6: Final answer
    x = 10,356.71

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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.