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Finding the Fourth Proportional to 12,807.26, 17,674.02 and 7,142.52

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Solution

The fourth proportional to 12,807.26, 17,674.02 and 7,142.52 is: 9,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.26 : 17,674.02 = 7,142.52 : x
  2. Step 2: Convert to fraction form
    12,807.26/17,674.02 = 7,142.52/x
  3. Step 3: Cross multiply
    12,807.26x = 17,674.02 × 7,142.52
  4. Step 4: Simplify right side
    12,807.26x = 126,237,041.33
  5. Step 5: Solve for x
    x = 126,237,041.33/12,807.26
  6. Step 6: Final answer
    x = 9,856.68

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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.