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Finding the Fourth Proportional to 12,478.28, 17,221.22 and 6,889.24

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Solution

The fourth proportional to 12,478.28, 17,221.22 and 6,889.24 is: 9,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.28 : 17,221.22 = 6,889.24 : x
  2. Step 2: Convert to fraction form
    12,478.28/17,221.22 = 6,889.24/x
  3. Step 3: Cross multiply
    12,478.28x = 17,221.22 × 6,889.24
  4. Step 4: Simplify right side
    12,478.28x = 118,641,117.67
  5. Step 5: Solve for x
    x = 118,641,117.67/12,478.28
  6. Step 6: Final answer
    x = 9,507.81

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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.