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Finding the Fourth Proportional to 13,545.57, 18,694.29 and 7,803.23

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Solution

The fourth proportional to 13,545.57, 18,694.29 and 7,803.23 is: 10,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.57 : 18,694.29 = 7,803.23 : x
  2. Step 2: Convert to fraction form
    13,545.57/18,694.29 = 7,803.23/x
  3. Step 3: Cross multiply
    13,545.57x = 18,694.29 × 7,803.23
  4. Step 4: Simplify right side
    13,545.57x = 145,875,770.59
  5. Step 5: Solve for x
    x = 145,875,770.59/13,545.57
  6. Step 6: Final answer
    x = 10,769.26

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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.