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Finding the Fourth Proportional to 17,578.32, 24,257.72 and 9,620.36

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Solution

The fourth proportional to 17,578.32, 24,257.72 and 9,620.36 is: 13,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.32 : 24,257.72 = 9,620.36 : x
  2. Step 2: Convert to fraction form
    17,578.32/24,257.72 = 9,620.36/x
  3. Step 3: Cross multiply
    17,578.32x = 24,257.72 × 9,620.36
  4. Step 4: Simplify right side
    17,578.32x = 233,367,999.18
  5. Step 5: Solve for x
    x = 233,367,999.18/17,578.32
  6. Step 6: Final answer
    x = 13,275.90

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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.