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Finding the Fourth Proportional to 16,463.00, 22,718.76 and 8,909.16

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Solution

The fourth proportional to 16,463.00, 22,718.76 and 8,909.16 is: 12,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463.00 : 22,718.76 = 8,909.16 : x
  2. Step 2: Convert to fraction form
    16,463.00/22,718.76 = 8,909.16/x
  3. Step 3: Cross multiply
    16,463.00x = 22,718.76 × 8,909.16
  4. Step 4: Simplify right side
    16,463.00x = 202,405,067.84
  5. Step 5: Solve for x
    x = 202,405,067.84/16,463.00
  6. Step 6: Final answer
    x = 12,294.55

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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.