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Finding the Fourth Proportional to 12,586.40, 17,367.72 and 6,920.22

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Solution

The fourth proportional to 12,586.40, 17,367.72 and 6,920.22 is: 9,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.40 : 17,367.72 = 6,920.22 : x
  2. Step 2: Convert to fraction form
    12,586.40/17,367.72 = 6,920.22/x
  3. Step 3: Cross multiply
    12,586.40x = 17,367.72 × 6,920.22
  4. Step 4: Simplify right side
    12,586.40x = 120,188,443.30
  5. Step 5: Solve for x
    x = 120,188,443.30/12,586.40
  6. Step 6: Final answer
    x = 9,549.07

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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.