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Finding the Fourth Proportional to 20,077.70, 27,707.46 and 11,125.31

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Solution

The fourth proportional to 20,077.70, 27,707.46 and 11,125.31 is: 15,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.70 : 27,707.46 = 11,125.31 : x
  2. Step 2: Convert to fraction form
    20,077.70/27,707.46 = 11,125.31/x
  3. Step 3: Cross multiply
    20,077.70x = 27,707.46 × 11,125.31
  4. Step 4: Simplify right side
    20,077.70x = 308,254,081.81
  5. Step 5: Solve for x
    x = 308,254,081.81/20,077.70
  6. Step 6: Final answer
    x = 15,353.06

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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.