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Finding the Fourth Proportional to 20,534.31, 30,785.81 and 17,013.51

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Solution

The fourth proportional to 20,534.31, 30,785.81 and 17,013.51 is: 25,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.31 : 30,785.81 = 17,013.51 : x
  2. Step 2: Convert to fraction form
    20,534.31/30,785.81 = 17,013.51/x
  3. Step 3: Cross multiply
    20,534.31x = 30,785.81 × 17,013.51
  4. Step 4: Simplify right side
    20,534.31x = 523,774,601.23
  5. Step 5: Solve for x
    x = 523,774,601.23/20,534.31
  6. Step 6: Final answer
    x = 25,507.29

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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.