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Finding the Fourth Proportional to 20,176.94, 30,265.56 and 7,029.29

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Solution

The fourth proportional to 20,176.94, 30,265.56 and 7,029.29 is: 10,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.94 : 30,265.56 = 7,029.29 : x
  2. Step 2: Convert to fraction form
    20,176.94/30,265.56 = 7,029.29/x
  3. Step 3: Cross multiply
    20,176.94x = 30,265.56 × 7,029.29
  4. Step 4: Simplify right side
    20,176.94x = 212,745,305.02
  5. Step 5: Solve for x
    x = 212,745,305.02/20,176.94
  6. Step 6: Final answer
    x = 10,543.98

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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.