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Finding the Fourth Proportional to 16,465.99, 22,723.12 and 8,912.42

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Solution

The fourth proportional to 16,465.99, 22,723.12 and 8,912.42 is: 12,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.99 : 22,723.12 = 8,912.42 : x
  2. Step 2: Convert to fraction form
    16,465.99/22,723.12 = 8,912.42/x
  3. Step 3: Cross multiply
    16,465.99x = 22,723.12 × 8,912.42
  4. Step 4: Simplify right side
    16,465.99x = 202,517,875.53
  5. Step 5: Solve for x
    x = 202,517,875.53/16,465.99
  6. Step 6: Final answer
    x = 12,299.17

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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.