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Finding the Fourth Proportional to 20,182.52, 30,278.85 and 7,035.02

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Solution

The fourth proportional to 20,182.52, 30,278.85 and 7,035.02 is: 10,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.52 : 30,278.85 = 7,035.02 : x
  2. Step 2: Convert to fraction form
    20,182.52/30,278.85 = 7,035.02/x
  3. Step 3: Cross multiply
    20,182.52x = 30,278.85 × 7,035.02
  4. Step 4: Simplify right side
    20,182.52x = 213,012,315.33
  5. Step 5: Solve for x
    x = 213,012,315.33/20,182.52
  6. Step 6: Final answer
    x = 10,554.30

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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.