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Finding the Fourth Proportional to 17,493.57, 24,140.84 and 9,535.32

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Solution

The fourth proportional to 17,493.57, 24,140.84 and 9,535.32 is: 13,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,493.57 : 24,140.84 = 9,535.32 : x
  2. Step 2: Convert to fraction form
    17,493.57/24,140.84 = 9,535.32/x
  3. Step 3: Cross multiply
    17,493.57x = 24,140.84 × 9,535.32
  4. Step 4: Simplify right side
    17,493.57x = 230,190,586.79
  5. Step 5: Solve for x
    x = 230,190,586.79/17,493.57
  6. Step 6: Final answer
    x = 13,158.58

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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.