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Finding the Fourth Proportional to 20,855.64, 31,280.22 and 6,061.50

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Solution

The fourth proportional to 20,855.64, 31,280.22 and 6,061.50 is: 9,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,855.64 : 31,280.22 = 6,061.50 : x
  2. Step 2: Convert to fraction form
    20,855.64/31,280.22 = 6,061.50/x
  3. Step 3: Cross multiply
    20,855.64x = 31,280.22 × 6,061.50
  4. Step 4: Simplify right side
    20,855.64x = 189,605,053.53
  5. Step 5: Solve for x
    x = 189,605,053.53/20,855.64
  6. Step 6: Final answer
    x = 9,091.31

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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.