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Finding the Fourth Proportional to 22,083.84, 33,082.02 and 14,298.12

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Solution

The fourth proportional to 22,083.84, 33,082.02 and 14,298.12 is: 21,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,083.84 : 33,082.02 = 14,298.12 : x
  2. Step 2: Convert to fraction form
    22,083.84/33,082.02 = 14,298.12/x
  3. Step 3: Cross multiply
    22,083.84x = 33,082.02 × 14,298.12
  4. Step 4: Simplify right side
    22,083.84x = 473,010,691.80
  5. Step 5: Solve for x
    x = 473,010,691.80/22,083.84
  6. Step 6: Final answer
    x = 21,418.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.