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Finding the Fourth Proportional to 20,534.36, 30,803.49 and 5,743.28

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Solution

The fourth proportional to 20,534.36, 30,803.49 and 5,743.28 is: 8,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.36 : 30,803.49 = 5,743.28 : x
  2. Step 2: Convert to fraction form
    20,534.36/30,803.49 = 5,743.28/x
  3. Step 3: Cross multiply
    20,534.36x = 30,803.49 × 5,743.28
  4. Step 4: Simplify right side
    20,534.36x = 176,913,068.05
  5. Step 5: Solve for x
    x = 176,913,068.05/20,534.36
  6. Step 6: Final answer
    x = 8,615.47

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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.