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Finding the Fourth Proportional to 17,509.20, 24,162.65 and 9,551.42

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Solution

The fourth proportional to 17,509.20, 24,162.65 and 9,551.42 is: 13,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.20 : 24,162.65 = 9,551.42 : x
  2. Step 2: Convert to fraction form
    17,509.20/24,162.65 = 9,551.42/x
  3. Step 3: Cross multiply
    17,509.20x = 24,162.65 × 9,551.42
  4. Step 4: Simplify right side
    17,509.20x = 230,787,702.75
  5. Step 5: Solve for x
    x = 230,787,702.75/17,509.20
  6. Step 6: Final answer
    x = 13,180.94

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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.