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Finding the Fourth Proportional to 22,334.66, 30,822.15 and 12,264

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Solution

The fourth proportional to 22,334.66, 30,822.15 and 12,264 is: 16,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,334.66 : 30,822.15 = 12,264 : x
  2. Step 2: Convert to fraction form
    22,334.66/30,822.15 = 12,264/x
  3. Step 3: Cross multiply
    22,334.66x = 30,822.15 × 12,264
  4. Step 4: Simplify right side
    22,334.66x = 378,002,847.60
  5. Step 5: Solve for x
    x = 378,002,847.60/22,334.66
  6. Step 6: Final answer
    x = 16,924.50

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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.