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Finding the Fourth Proportional to 19,920.80, 29,881.20 and 9,552.80

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Solution

The fourth proportional to 19,920.80, 29,881.20 and 9,552.80 is: 14,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.80 : 29,881.20 = 9,552.80 : x
  2. Step 2: Convert to fraction form
    19,920.80/29,881.20 = 9,552.80/x
  3. Step 3: Cross multiply
    19,920.80x = 29,881.20 × 9,552.80
  4. Step 4: Simplify right side
    19,920.80x = 285,449,127.36
  5. Step 5: Solve for x
    x = 285,449,127.36/19,920.80
  6. Step 6: Final answer
    x = 14,329.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.