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Finding the Fourth Proportional to 20,561.94, 30,842.55 and 6,710.94

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Solution

The fourth proportional to 20,561.94, 30,842.55 and 6,710.94 is: 10,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,561.94 : 30,842.55 = 6,710.94 : x
  2. Step 2: Convert to fraction form
    20,561.94/30,842.55 = 6,710.94/x
  3. Step 3: Cross multiply
    20,561.94x = 30,842.55 × 6,710.94
  4. Step 4: Simplify right side
    20,561.94x = 206,982,502.50
  5. Step 5: Solve for x
    x = 206,982,502.50/20,561.94
  6. Step 6: Final answer
    x = 10,066.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.