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Finding the Fourth Proportional to 17,972.80, 24,802.86 and 9,906.76

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Solution

The fourth proportional to 17,972.80, 24,802.86 and 9,906.76 is: 13,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972.80 : 24,802.86 = 9,906.76 : x
  2. Step 2: Convert to fraction form
    17,972.80/24,802.86 = 9,906.76/x
  3. Step 3: Cross multiply
    17,972.80x = 24,802.86 × 9,906.76
  4. Step 4: Simplify right side
    17,972.80x = 245,715,981.33
  5. Step 5: Solve for x
    x = 245,715,981.33/17,972.80
  6. Step 6: Final answer
    x = 13,671.55

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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.