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Finding the Fourth Proportional to 22,474.53, 33,713.69 and 7,684.47

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Solution

The fourth proportional to 22,474.53, 33,713.69 and 7,684.47 is: 11,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474.53 : 33,713.69 = 7,684.47 : x
  2. Step 2: Convert to fraction form
    22,474.53/33,713.69 = 7,684.47/x
  3. Step 3: Cross multiply
    22,474.53x = 33,713.69 × 7,684.47
  4. Step 4: Simplify right side
    22,474.53x = 259,071,800.97
  5. Step 5: Solve for x
    x = 259,071,800.97/22,474.53
  6. Step 6: Final answer
    x = 11,527.35

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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.