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Finding the Fourth Proportional to 17,767.66, 24,519.04 and 9,809.71

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Solution

The fourth proportional to 17,767.66, 24,519.04 and 9,809.71 is: 13,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.66 : 24,519.04 = 9,809.71 : x
  2. Step 2: Convert to fraction form
    17,767.66/24,519.04 = 9,809.71/x
  3. Step 3: Cross multiply
    17,767.66x = 24,519.04 × 9,809.71
  4. Step 4: Simplify right side
    17,767.66x = 240,524,671.88
  5. Step 5: Solve for x
    x = 240,524,671.88/17,767.66
  6. Step 6: Final answer
    x = 13,537.22

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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.