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Finding the Fourth Proportional to 14,578.56, 21,867.84 and 5,815.44

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Solution

The fourth proportional to 14,578.56, 21,867.84 and 5,815.44 is: 8,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.56 : 21,867.84 = 5,815.44 : x
  2. Step 2: Convert to fraction form
    14,578.56/21,867.84 = 5,815.44/x
  3. Step 3: Cross multiply
    14,578.56x = 21,867.84 × 5,815.44
  4. Step 4: Simplify right side
    14,578.56x = 127,171,111.45
  5. Step 5: Solve for x
    x = 127,171,111.45/14,578.56
  6. Step 6: Final answer
    x = 8,723.16

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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.