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Finding the Fourth Proportional to 22,294.64, 30,769.17 and 12,736.04

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Solution

The fourth proportional to 22,294.64, 30,769.17 and 12,736.04 is: 17,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,294.64 : 30,769.17 = 12,736.04 : x
  2. Step 2: Convert to fraction form
    22,294.64/30,769.17 = 12,736.04/x
  3. Step 3: Cross multiply
    22,294.64x = 30,769.17 × 12,736.04
  4. Step 4: Simplify right side
    22,294.64x = 391,877,178.28
  5. Step 5: Solve for x
    x = 391,877,178.28/22,294.64
  6. Step 6: Final answer
    x = 17,577.19

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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.