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Finding the Fourth Proportional to 20,710.76, 31,065.78 and 5,128.34

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Solution

The fourth proportional to 20,710.76, 31,065.78 and 5,128.34 is: 7,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.76 : 31,065.78 = 5,128.34 : x
  2. Step 2: Convert to fraction form
    20,710.76/31,065.78 = 5,128.34/x
  3. Step 3: Cross multiply
    20,710.76x = 31,065.78 × 5,128.34
  4. Step 4: Simplify right side
    20,710.76x = 159,315,882.21
  5. Step 5: Solve for x
    x = 159,315,882.21/20,710.76
  6. Step 6: Final answer
    x = 7,692.42

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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.