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Finding the Fourth Proportional to 14,557.25, 20,089.71 and 8,185.84

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Solution

The fourth proportional to 14,557.25, 20,089.71 and 8,185.84 is: 11,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.25 : 20,089.71 = 8,185.84 : x
  2. Step 2: Convert to fraction form
    14,557.25/20,089.71 = 8,185.84/x
  3. Step 3: Cross multiply
    14,557.25x = 20,089.71 × 8,185.84
  4. Step 4: Simplify right side
    14,557.25x = 164,451,211.87
  5. Step 5: Solve for x
    x = 164,451,211.87/14,557.25
  6. Step 6: Final answer
    x = 11,296.86

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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.