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Finding the Fourth Proportional to 12,405.76, 17,120 and 6,816.96

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Solution

The fourth proportional to 12,405.76, 17,120 and 6,816.96 is: 9,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.76 : 17,120 = 6,816.96 : x
  2. Step 2: Convert to fraction form
    12,405.76/17,120 = 6,816.96/x
  3. Step 3: Cross multiply
    12,405.76x = 17,120 × 6,816.96
  4. Step 4: Simplify right side
    12,405.76x = 116,706,355.20
  5. Step 5: Solve for x
    x = 116,706,355.20/12,405.76
  6. Step 6: Final answer
    x = 9,407.43

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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.