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Finding the Fourth Proportional to 17,578.52, 24,252.32 and 10,019.40

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Solution

The fourth proportional to 17,578.52, 24,252.32 and 10,019.40 is: 13,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.52 : 24,252.32 = 10,019.40 : x
  2. Step 2: Convert to fraction form
    17,578.52/24,252.32 = 10,019.40/x
  3. Step 3: Cross multiply
    17,578.52x = 24,252.32 × 10,019.40
  4. Step 4: Simplify right side
    17,578.52x = 242,993,643.20
  5. Step 5: Solve for x
    x = 242,993,643.20/17,578.52
  6. Step 6: Final answer
    x = 13,823.33

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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.