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Finding the Fourth Proportional to 13,561.23, 18,713.25 and 7,895.73

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Solution

The fourth proportional to 13,561.23, 18,713.25 and 7,895.73 is: 10,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.23 : 18,713.25 = 7,895.73 : x
  2. Step 2: Convert to fraction form
    13,561.23/18,713.25 = 7,895.73/x
  3. Step 3: Cross multiply
    13,561.23x = 18,713.25 × 7,895.73
  4. Step 4: Simplify right side
    13,561.23x = 147,754,769.42
  5. Step 5: Solve for x
    x = 147,754,769.42/13,561.23
  6. Step 6: Final answer
    x = 10,895.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.