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Finding the Fourth Proportional to 12,295.20, 16,968.90 and 7,514.16

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Solution

The fourth proportional to 12,295.20, 16,968.90 and 7,514.16 is: 10,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.20 : 16,968.90 = 7,514.16 : x
  2. Step 2: Convert to fraction form
    12,295.20/16,968.90 = 7,514.16/x
  3. Step 3: Cross multiply
    12,295.20x = 16,968.90 × 7,514.16
  4. Step 4: Simplify right side
    12,295.20x = 127,507,029.62
  5. Step 5: Solve for x
    x = 127,507,029.62/12,295.20
  6. Step 6: Final answer
    x = 10,370.47

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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.