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Finding the Fourth Proportional to 17,542.84, 24,209.47 and 9,585.56

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Solution

The fourth proportional to 17,542.84, 24,209.47 and 9,585.56 is: 13,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.84 : 24,209.47 = 9,585.56 : x
  2. Step 2: Convert to fraction form
    17,542.84/24,209.47 = 9,585.56/x
  3. Step 3: Cross multiply
    17,542.84x = 24,209.47 × 9,585.56
  4. Step 4: Simplify right side
    17,542.84x = 232,061,327.25
  5. Step 5: Solve for x
    x = 232,061,327.25/17,542.84
  6. Step 6: Final answer
    x = 13,228.26

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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.