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Finding the Fourth Proportional to 12,409.15, 17,107.86 and 8,423.34

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Solution

The fourth proportional to 12,409.15, 17,107.86 and 8,423.34 is: 11,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.15 : 17,107.86 = 8,423.34 : x
  2. Step 2: Convert to fraction form
    12,409.15/17,107.86 = 8,423.34/x
  3. Step 3: Cross multiply
    12,409.15x = 17,107.86 × 8,423.34
  4. Step 4: Simplify right side
    12,409.15x = 144,105,343.16
  5. Step 5: Solve for x
    x = 144,105,343.16/12,409.15
  6. Step 6: Final answer
    x = 11,612.83

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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.