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Finding the Fourth Proportional to 17,542.22, 24,208.61 and 9,584.93

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Solution

The fourth proportional to 17,542.22, 24,208.61 and 9,584.93 is: 13,227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.22 : 24,208.61 = 9,584.93 : x
  2. Step 2: Convert to fraction form
    17,542.22/24,208.61 = 9,584.93/x
  3. Step 3: Cross multiply
    17,542.22x = 24,208.61 × 9,584.93
  4. Step 4: Simplify right side
    17,542.22x = 232,037,844.84
  5. Step 5: Solve for x
    x = 232,037,844.84/17,542.22
  6. Step 6: Final answer
    x = 13,227.40

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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.