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Finding the Fourth Proportional to 12,388.24, 17,081.36 and 8,411.92

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Solution

The fourth proportional to 12,388.24, 17,081.36 and 8,411.92 is: 11,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.24 : 17,081.36 = 8,411.92 : x
  2. Step 2: Convert to fraction form
    12,388.24/17,081.36 = 8,411.92/x
  3. Step 3: Cross multiply
    12,388.24x = 17,081.36 × 8,411.92
  4. Step 4: Simplify right side
    12,388.24x = 143,687,033.81
  5. Step 5: Solve for x
    x = 143,687,033.81/12,388.24
  6. Step 6: Final answer
    x = 11,598.66

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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.