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Finding the Fourth Proportional to 16,224.50, 22,389.82 and 8,772.50

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Solution

The fourth proportional to 16,224.50, 22,389.82 and 8,772.50 is: 12,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.50 : 22,389.82 = 8,772.50 : x
  2. Step 2: Convert to fraction form
    16,224.50/22,389.82 = 8,772.50/x
  3. Step 3: Cross multiply
    16,224.50x = 22,389.82 × 8,772.50
  4. Step 4: Simplify right side
    16,224.50x = 196,414,695.95
  5. Step 5: Solve for x
    x = 196,414,695.95/16,224.50
  6. Step 6: Final answer
    x = 12,106.06

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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.