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Finding the Fourth Proportional to 16,057.84, 22,160.68 and 8,983.84

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Solution

The fourth proportional to 16,057.84, 22,160.68 and 8,983.84 is: 12,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.84 : 22,160.68 = 8,983.84 : x
  2. Step 2: Convert to fraction form
    16,057.84/22,160.68 = 8,983.84/x
  3. Step 3: Cross multiply
    16,057.84x = 22,160.68 × 8,983.84
  4. Step 4: Simplify right side
    16,057.84x = 199,088,003.41
  5. Step 5: Solve for x
    x = 199,088,003.41/16,057.84
  6. Step 6: Final answer
    x = 12,398.18

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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.