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Finding the Fourth Proportional to 16,305.84, 22,502.16 and 8,853.84

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Solution

The fourth proportional to 16,305.84, 22,502.16 and 8,853.84 is: 12,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.84 : 22,502.16 = 8,853.84 : x
  2. Step 2: Convert to fraction form
    16,305.84/22,502.16 = 8,853.84/x
  3. Step 3: Cross multiply
    16,305.84x = 22,502.16 × 8,853.84
  4. Step 4: Simplify right side
    16,305.84x = 199,230,524.29
  5. Step 5: Solve for x
    x = 199,230,524.29/16,305.84
  6. Step 6: Final answer
    x = 12,218.35

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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.