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Finding the Fourth Proportional to 14,578.41, 20,114.62 and 8,203.75

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Solution

The fourth proportional to 14,578.41, 20,114.62 and 8,203.75 is: 11,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.41 : 20,114.62 = 8,203.75 : x
  2. Step 2: Convert to fraction form
    14,578.41/20,114.62 = 8,203.75/x
  3. Step 3: Cross multiply
    14,578.41x = 20,114.62 × 8,203.75
  4. Step 4: Simplify right side
    14,578.41x = 165,015,313.83
  5. Step 5: Solve for x
    x = 165,015,313.83/14,578.41
  6. Step 6: Final answer
    x = 11,319.16

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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.