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Finding the Fourth Proportional to 17,722.25, 24,455.74 and 9,763.85

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Solution

The fourth proportional to 17,722.25, 24,455.74 and 9,763.85 is: 13,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.25 : 24,455.74 = 9,763.85 : x
  2. Step 2: Convert to fraction form
    17,722.25/24,455.74 = 9,763.85/x
  3. Step 3: Cross multiply
    17,722.25x = 24,455.74 × 9,763.85
  4. Step 4: Simplify right side
    17,722.25x = 238,782,177.00
  5. Step 5: Solve for x
    x = 238,782,177.00/17,722.25
  6. Step 6: Final answer
    x = 13,473.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.