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Finding the Fourth Proportional to 16,219.53, 22,382.95 and 8,767.53

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Solution

The fourth proportional to 16,219.53, 22,382.95 and 8,767.53 is: 12,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.53 : 22,382.95 = 8,767.53 : x
  2. Step 2: Convert to fraction form
    16,219.53/22,382.95 = 8,767.53/x
  3. Step 3: Cross multiply
    16,219.53x = 22,382.95 × 8,767.53
  4. Step 4: Simplify right side
    16,219.53x = 196,243,185.61
  5. Step 5: Solve for x
    x = 196,243,185.61/16,219.53
  6. Step 6: Final answer
    x = 12,099.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.