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Finding the Fourth Proportional to 17,542.64, 24,209.21 and 9,585.39

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Solution

The fourth proportional to 17,542.64, 24,209.21 and 9,585.39 is: 13,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.64 : 24,209.21 = 9,585.39 : x
  2. Step 2: Convert to fraction form
    17,542.64/24,209.21 = 9,585.39/x
  3. Step 3: Cross multiply
    17,542.64x = 24,209.21 × 9,585.39
  4. Step 4: Simplify right side
    17,542.64x = 232,054,719.44
  5. Step 5: Solve for x
    x = 232,054,719.44/17,542.64
  6. Step 6: Final answer
    x = 13,228.04

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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.