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Finding the Fourth Proportional to 14,169.53, 19,552.75 and 8,201.57

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Solution

The fourth proportional to 14,169.53, 19,552.75 and 8,201.57 is: 11,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169.53 : 19,552.75 = 8,201.57 : x
  2. Step 2: Convert to fraction form
    14,169.53/19,552.75 = 8,201.57/x
  3. Step 3: Cross multiply
    14,169.53x = 19,552.75 × 8,201.57
  4. Step 4: Simplify right side
    14,169.53x = 160,363,129.55
  5. Step 5: Solve for x
    x = 160,363,129.55/14,169.53
  6. Step 6: Final answer
    x = 11,317.46

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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.