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Finding the Fourth Proportional to 12,442.75, 17,169.86 and 7,406.16

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Solution

The fourth proportional to 12,442.75, 17,169.86 and 7,406.16 is: 10,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.75 : 17,169.86 = 7,406.16 : x
  2. Step 2: Convert to fraction form
    12,442.75/17,169.86 = 7,406.16/x
  3. Step 3: Cross multiply
    12,442.75x = 17,169.86 × 7,406.16
  4. Step 4: Simplify right side
    12,442.75x = 127,162,730.34
  5. Step 5: Solve for x
    x = 127,162,730.34/12,442.75
  6. Step 6: Final answer
    x = 10,219.83

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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.