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Finding the Fourth Proportional to 15,791.77, 21,800.52 and 9,825.36

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Solution

The fourth proportional to 15,791.77, 21,800.52 and 9,825.36 is: 13,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.77 : 21,800.52 = 9,825.36 : x
  2. Step 2: Convert to fraction form
    15,791.77/21,800.52 = 9,825.36/x
  3. Step 3: Cross multiply
    15,791.77x = 21,800.52 × 9,825.36
  4. Step 4: Simplify right side
    15,791.77x = 214,197,957.19
  5. Step 5: Solve for x
    x = 214,197,957.19/15,791.77
  6. Step 6: Final answer
    x = 13,563.90

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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.