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Finding the Fourth Proportional to 12,407.30, 17,118.51 and 7,686.62

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Solution

The fourth proportional to 12,407.30, 17,118.51 and 7,686.62 is: 10,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.30 : 17,118.51 = 7,686.62 : x
  2. Step 2: Convert to fraction form
    12,407.30/17,118.51 = 7,686.62/x
  3. Step 3: Cross multiply
    12,407.30x = 17,118.51 × 7,686.62
  4. Step 4: Simplify right side
    12,407.30x = 131,583,481.34
  5. Step 5: Solve for x
    x = 131,583,481.34/12,407.30
  6. Step 6: Final answer
    x = 10,605.33

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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.