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Finding the Fourth Proportional to 17,729.68, 24,467.12 and 9,772.20

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Solution

The fourth proportional to 17,729.68, 24,467.12 and 9,772.20 is: 13,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.68 : 24,467.12 = 9,772.20 : x
  2. Step 2: Convert to fraction form
    17,729.68/24,467.12 = 9,772.20/x
  3. Step 3: Cross multiply
    17,729.68x = 24,467.12 × 9,772.20
  4. Step 4: Simplify right side
    17,729.68x = 239,097,590.06
  5. Step 5: Solve for x
    x = 239,097,590.06/17,729.68
  6. Step 6: Final answer
    x = 13,485.73

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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.