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Finding the Fourth Proportional to 17,902.84, 24,706.74 and 9,944.80

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Solution

The fourth proportional to 17,902.84, 24,706.74 and 9,944.80 is: 13,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,902.84 : 24,706.74 = 9,944.80 : x
  2. Step 2: Convert to fraction form
    17,902.84/24,706.74 = 9,944.80/x
  3. Step 3: Cross multiply
    17,902.84x = 24,706.74 × 9,944.80
  4. Step 4: Simplify right side
    17,902.84x = 245,703,587.95
  5. Step 5: Solve for x
    x = 245,703,587.95/17,902.84
  6. Step 6: Final answer
    x = 13,724.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.