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Finding the Fourth Proportional to 22,082.84, 30,475.13 and 12,653.22

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Solution

The fourth proportional to 22,082.84, 30,475.13 and 12,653.22 is: 17,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.84 : 30,475.13 = 12,653.22 : x
  2. Step 2: Convert to fraction form
    22,082.84/30,475.13 = 12,653.22/x
  3. Step 3: Cross multiply
    22,082.84x = 30,475.13 × 12,653.22
  4. Step 4: Simplify right side
    22,082.84x = 385,608,575.43
  5. Step 5: Solve for x
    x = 385,608,575.43/22,082.84
  6. Step 6: Final answer
    x = 17,461.91

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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.