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Finding the Fourth Proportional to 12,120.75, 16,726.91 and 7,407.63

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Solution

The fourth proportional to 12,120.75, 16,726.91 and 7,407.63 is: 10,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120.75 : 16,726.91 = 7,407.63 : x
  2. Step 2: Convert to fraction form
    12,120.75/16,726.91 = 7,407.63/x
  3. Step 3: Cross multiply
    12,120.75x = 16,726.91 × 7,407.63
  4. Step 4: Simplify right side
    12,120.75x = 123,906,723.29
  5. Step 5: Solve for x
    x = 123,906,723.29/12,120.75
  6. Step 6: Final answer
    x = 10,222.69

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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.