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Finding the Fourth Proportional to 22,778.80, 34,173.20 and 6,985.99

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Solution

The fourth proportional to 22,778.80, 34,173.20 and 6,985.99 is: 10,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.80 : 34,173.20 = 6,985.99 : x
  2. Step 2: Convert to fraction form
    22,778.80/34,173.20 = 6,985.99/x
  3. Step 3: Cross multiply
    22,778.80x = 34,173.20 × 6,985.99
  4. Step 4: Simplify right side
    22,778.80x = 238,733,693.65
  5. Step 5: Solve for x
    x = 238,733,693.65/22,778.80
  6. Step 6: Final answer
    x = 10,480.52

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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.