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Finding the Fourth Proportional to 17,542.74, 24,208.94 and 9,585.02

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Solution

The fourth proportional to 17,542.74, 24,208.94 and 9,585.02 is: 13,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.74 : 24,208.94 = 9,585.02 : x
  2. Step 2: Convert to fraction form
    17,542.74/24,208.94 = 9,585.02/x
  3. Step 3: Cross multiply
    17,542.74x = 24,208.94 × 9,585.02
  4. Step 4: Simplify right side
    17,542.74x = 232,043,190.48
  5. Step 5: Solve for x
    x = 232,043,190.48/17,542.74
  6. Step 6: Final answer
    x = 13,227.31

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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.