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Finding the Fourth Proportional to 12,807.75, 17,675.24 and 7,218.75

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Solution

The fourth proportional to 12,807.75, 17,675.24 and 7,218.75 is: 9,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.75 : 17,675.24 = 7,218.75 : x
  2. Step 2: Convert to fraction form
    12,807.75/17,675.24 = 7,218.75/x
  3. Step 3: Cross multiply
    12,807.75x = 17,675.24 × 7,218.75
  4. Step 4: Simplify right side
    12,807.75x = 127,593,102.66
  5. Step 5: Solve for x
    x = 127,593,102.66/12,807.75
  6. Step 6: Final answer
    x = 9,962.18

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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.