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Finding the Fourth Proportional to 12,680.40, 17,462.92 and 12,409.04

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Solution

The fourth proportional to 12,680.40, 17,462.92 and 12,409.04 is: 17,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.40 : 17,462.92 = 12,409.04 : x
  2. Step 2: Convert to fraction form
    12,680.40/17,462.92 = 12,409.04/x
  3. Step 3: Cross multiply
    12,680.40x = 17,462.92 × 12,409.04
  4. Step 4: Simplify right side
    12,680.40x = 216,698,072.80
  5. Step 5: Solve for x
    x = 216,698,072.80/12,680.40
  6. Step 6: Final answer
    x = 17,089.21

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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.