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Finding the Fourth Proportional to 22,169.17, 30,583.80 and 14,605.80

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Solution

The fourth proportional to 22,169.17, 30,583.80 and 14,605.80 is: 20,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,169.17 : 30,583.80 = 14,605.80 : x
  2. Step 2: Convert to fraction form
    22,169.17/30,583.80 = 14,605.80/x
  3. Step 3: Cross multiply
    22,169.17x = 30,583.80 × 14,605.80
  4. Step 4: Simplify right side
    22,169.17x = 446,700,713.12
  5. Step 5: Solve for x
    x = 446,700,713.12/22,169.17
  6. Step 6: Final answer
    x = 20,149.64

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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.