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Finding the Fourth Proportional to 12,820.86, 19,224.41 and 6,578.32

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Solution

The fourth proportional to 12,820.86, 19,224.41 and 6,578.32 is: 9,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.86 : 19,224.41 = 6,578.32 : x
  2. Step 2: Convert to fraction form
    12,820.86/19,224.41 = 6,578.32/x
  3. Step 3: Cross multiply
    12,820.86x = 19,224.41 × 6,578.32
  4. Step 4: Simplify right side
    12,820.86x = 126,464,320.79
  5. Step 5: Solve for x
    x = 126,464,320.79/12,820.86
  6. Step 6: Final answer
    x = 9,863.95

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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.