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Finding the Fourth Proportional to 17,730, 24,467.34 and 9,772.22

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Solution

The fourth proportional to 17,730, 24,467.34 and 9,772.22 is: 13,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730 : 24,467.34 = 9,772.22 : x
  2. Step 2: Convert to fraction form
    17,730/24,467.34 = 9,772.22/x
  3. Step 3: Cross multiply
    17,730x = 24,467.34 × 9,772.22
  4. Step 4: Simplify right side
    17,730x = 239,100,229.29
  5. Step 5: Solve for x
    x = 239,100,229.29/17,730
  6. Step 6: Final answer
    x = 13,485.63

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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.