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Finding the Fourth Proportional to 14,545.25, 20,072.52 and 8,172.11

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Solution

The fourth proportional to 14,545.25, 20,072.52 and 8,172.11 is: 11,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545.25 : 20,072.52 = 8,172.11 : x
  2. Step 2: Convert to fraction form
    14,545.25/20,072.52 = 8,172.11/x
  3. Step 3: Cross multiply
    14,545.25x = 20,072.52 × 8,172.11
  4. Step 4: Simplify right side
    14,545.25x = 164,034,741.05
  5. Step 5: Solve for x
    x = 164,034,741.05/14,545.25
  6. Step 6: Final answer
    x = 11,277.55

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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.