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Finding the Fourth Proportional to 22,380.88, 30,878.40 and 14,409.04

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Solution

The fourth proportional to 22,380.88, 30,878.40 and 14,409.04 is: 19,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.88 : 30,878.40 = 14,409.04 : x
  2. Step 2: Convert to fraction form
    22,380.88/30,878.40 = 14,409.04/x
  3. Step 3: Cross multiply
    22,380.88x = 30,878.40 × 14,409.04
  4. Step 4: Simplify right side
    22,380.88x = 444,928,100.74
  5. Step 5: Solve for x
    x = 444,928,100.74/22,380.88
  6. Step 6: Final answer
    x = 19,879.83

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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.