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Finding the Fourth Proportional to 20,701.56, 28,566.54 and 11,747

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Solution

The fourth proportional to 20,701.56, 28,566.54 and 11,747 is: 16,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,701.56 : 28,566.54 = 11,747 : x
  2. Step 2: Convert to fraction form
    20,701.56/28,566.54 = 11,747/x
  3. Step 3: Cross multiply
    20,701.56x = 28,566.54 × 11,747
  4. Step 4: Simplify right side
    20,701.56x = 335,571,145.38
  5. Step 5: Solve for x
    x = 335,571,145.38/20,701.56
  6. Step 6: Final answer
    x = 16,209.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.