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Finding the Fourth Proportional to 17,202.35, 23,738.81 and 9,545.63

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Solution

The fourth proportional to 17,202.35, 23,738.81 and 9,545.63 is: 13,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.35 : 23,738.81 = 9,545.63 : x
  2. Step 2: Convert to fraction form
    17,202.35/23,738.81 = 9,545.63/x
  3. Step 3: Cross multiply
    17,202.35x = 23,738.81 × 9,545.63
  4. Step 4: Simplify right side
    17,202.35x = 226,601,730.48
  5. Step 5: Solve for x
    x = 226,601,730.48/17,202.35
  6. Step 6: Final answer
    x = 13,172.72

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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.