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Finding the Fourth Proportional to 20,578.08, 30,862.24 and 5,788.32

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Solution

The fourth proportional to 20,578.08, 30,862.24 and 5,788.32 is: 8,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.08 : 30,862.24 = 5,788.32 : x
  2. Step 2: Convert to fraction form
    20,578.08/30,862.24 = 5,788.32/x
  3. Step 3: Cross multiply
    20,578.08x = 30,862.24 × 5,788.32
  4. Step 4: Simplify right side
    20,578.08x = 178,640,521.04
  5. Step 5: Solve for x
    x = 178,640,521.04/20,578.08
  6. Step 6: Final answer
    x = 8,681.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.