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Finding the Fourth Proportional to 17,729.76, 24,466.94 and 9,772

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Solution

The fourth proportional to 17,729.76, 24,466.94 and 9,772 is: 13,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.76 : 24,466.94 = 9,772 : x
  2. Step 2: Convert to fraction form
    17,729.76/24,466.94 = 9,772/x
  3. Step 3: Cross multiply
    17,729.76x = 24,466.94 × 9,772
  4. Step 4: Simplify right side
    17,729.76x = 239,090,937.68
  5. Step 5: Solve for x
    x = 239,090,937.68/17,729.76
  6. Step 6: Final answer
    x = 13,485.29

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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.