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Finding the Fourth Proportional to 17,276.47, 23,841.24 and 9,722.80

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Solution

The fourth proportional to 17,276.47, 23,841.24 and 9,722.80 is: 13,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,276.47 : 23,841.24 = 9,722.80 : x
  2. Step 2: Convert to fraction form
    17,276.47/23,841.24 = 9,722.80/x
  3. Step 3: Cross multiply
    17,276.47x = 23,841.24 × 9,722.80
  4. Step 4: Simplify right side
    17,276.47x = 231,803,608.27
  5. Step 5: Solve for x
    x = 231,803,608.27/17,276.47
  6. Step 6: Final answer
    x = 13,417.30

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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.