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Finding the Fourth Proportional to 27,407.80, 41,112.69 and 14,077.20

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Solution

The fourth proportional to 27,407.80, 41,112.69 and 14,077.20 is: 21,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.80 : 41,112.69 = 14,077.20 : x
  2. Step 2: Convert to fraction form
    27,407.80/41,112.69 = 14,077.20/x
  3. Step 3: Cross multiply
    27,407.80x = 41,112.69 × 14,077.20
  4. Step 4: Simplify right side
    27,407.80x = 578,751,559.67
  5. Step 5: Solve for x
    x = 578,751,559.67/27,407.80
  6. Step 6: Final answer
    x = 21,116.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.