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Finding the Fourth Proportional to 22,454.10, 30,983.04 and 13,020.84

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Solution

The fourth proportional to 22,454.10, 30,983.04 and 13,020.84 is: 17,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454.10 : 30,983.04 = 13,020.84 : x
  2. Step 2: Convert to fraction form
    22,454.10/30,983.04 = 13,020.84/x
  3. Step 3: Cross multiply
    22,454.10x = 30,983.04 × 13,020.84
  4. Step 4: Simplify right side
    22,454.10x = 403,425,206.55
  5. Step 5: Solve for x
    x = 403,425,206.55/22,454.10
  6. Step 6: Final answer
    x = 17,966.66

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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.