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Finding the Fourth Proportional to 20,502.63, 30,753.39 and 5,710.95

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Solution

The fourth proportional to 20,502.63, 30,753.39 and 5,710.95 is: 8,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.63 : 30,753.39 = 5,710.95 : x
  2. Step 2: Convert to fraction form
    20,502.63/30,753.39 = 5,710.95/x
  3. Step 3: Cross multiply
    20,502.63x = 30,753.39 × 5,710.95
  4. Step 4: Simplify right side
    20,502.63x = 175,631,072.62
  5. Step 5: Solve for x
    x = 175,631,072.62/20,502.63
  6. Step 6: Final answer
    x = 8,566.27

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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.