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Finding the Fourth Proportional to 12,405.64, 17,119.92 and 6,816.64

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Solution

The fourth proportional to 12,405.64, 17,119.92 and 6,816.64 is: 9,407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.64 : 17,119.92 = 6,816.64 : x
  2. Step 2: Convert to fraction form
    12,405.64/17,119.92 = 6,816.64/x
  3. Step 3: Cross multiply
    12,405.64x = 17,119.92 × 6,816.64
  4. Step 4: Simplify right side
    12,405.64x = 116,700,331.47
  5. Step 5: Solve for x
    x = 116,700,331.47/12,405.64
  6. Step 6: Final answer
    x = 9,407.04

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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.