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Finding the Fourth Proportional to 17,784.56, 24,542.52 and 9,826.79

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Solution

The fourth proportional to 17,784.56, 24,542.52 and 9,826.79 is: 13,560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.56 : 24,542.52 = 9,826.79 : x
  2. Step 2: Convert to fraction form
    17,784.56/24,542.52 = 9,826.79/x
  3. Step 3: Cross multiply
    17,784.56x = 24,542.52 × 9,826.79
  4. Step 4: Simplify right side
    17,784.56x = 241,174,067.40
  5. Step 5: Solve for x
    x = 241,174,067.40/17,784.56
  6. Step 6: Final answer
    x = 13,560.87

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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.