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Finding the Fourth Proportional to 20,502.51, 30,734.33 and 10,102.11

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Solution

The fourth proportional to 20,502.51, 30,734.33 and 10,102.11 is: 15,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.51 : 30,734.33 = 10,102.11 : x
  2. Step 2: Convert to fraction form
    20,502.51/30,734.33 = 10,102.11/x
  3. Step 3: Cross multiply
    20,502.51x = 30,734.33 × 10,102.11
  4. Step 4: Simplify right side
    20,502.51x = 310,481,531.93
  5. Step 5: Solve for x
    x = 310,481,531.93/20,502.51
  6. Step 6: Final answer
    x = 15,143.59

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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.