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Finding the Fourth Proportional to 20,047.38, 30,071.19 and 5,256.16

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Solution

The fourth proportional to 20,047.38, 30,071.19 and 5,256.16 is: 7,884.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.38 : 30,071.19 = 5,256.16 : x
  2. Step 2: Convert to fraction form
    20,047.38/30,071.19 = 5,256.16/x
  3. Step 3: Cross multiply
    20,047.38x = 30,071.19 × 5,256.16
  4. Step 4: Simplify right side
    20,047.38x = 158,058,959.75
  5. Step 5: Solve for x
    x = 158,058,959.75/20,047.38
  6. Step 6: Final answer
    x = 7,884.27

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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.