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Finding the Fourth Proportional to 22,405.95, 30,920.22 and 12,334.78

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Solution

The fourth proportional to 22,405.95, 30,920.22 and 12,334.78 is: 17,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.95 : 30,920.22 = 12,334.78 : x
  2. Step 2: Convert to fraction form
    22,405.95/30,920.22 = 12,334.78/x
  3. Step 3: Cross multiply
    22,405.95x = 30,920.22 × 12,334.78
  4. Step 4: Simplify right side
    22,405.95x = 381,393,894.98
  5. Step 5: Solve for x
    x = 381,393,894.98/22,405.95
  6. Step 6: Final answer
    x = 17,022.00

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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.