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Finding the Fourth Proportional to 22,980.62, 34,471.92 and 7,185.95

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Solution

The fourth proportional to 22,980.62, 34,471.92 and 7,185.95 is: 10,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.62 : 34,471.92 = 7,185.95 : x
  2. Step 2: Convert to fraction form
    22,980.62/34,471.92 = 7,185.95/x
  3. Step 3: Cross multiply
    22,980.62x = 34,471.92 × 7,185.95
  4. Step 4: Simplify right side
    22,980.62x = 247,713,493.52
  5. Step 5: Solve for x
    x = 247,713,493.52/22,980.62
  6. Step 6: Final answer
    x = 10,779.23

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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.