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Finding the Fourth Proportional to 17,578.80, 24,259.14 and 9,621.36

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Solution

The fourth proportional to 17,578.80, 24,259.14 and 9,621.36 is: 13,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.80 : 24,259.14 = 9,621.36 : x
  2. Step 2: Convert to fraction form
    17,578.80/24,259.14 = 9,621.36/x
  3. Step 3: Cross multiply
    17,578.80x = 24,259.14 × 9,621.36
  4. Step 4: Simplify right side
    17,578.80x = 233,405,919.23
  5. Step 5: Solve for x
    x = 233,405,919.23/17,578.80
  6. Step 6: Final answer
    x = 13,277.69

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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.