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Finding the Fourth Proportional to 12,409.74, 17,121.98 and 7,104.24

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Solution

The fourth proportional to 12,409.74, 17,121.98 and 7,104.24 is: 9,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.74 : 17,121.98 = 7,104.24 : x
  2. Step 2: Convert to fraction form
    12,409.74/17,121.98 = 7,104.24/x
  3. Step 3: Cross multiply
    12,409.74x = 17,121.98 × 7,104.24
  4. Step 4: Simplify right side
    12,409.74x = 121,638,672.96
  5. Step 5: Solve for x
    x = 121,638,672.96/12,409.74
  6. Step 6: Final answer
    x = 9,801.87

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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.