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Finding the Fourth Proportional to 17,806.80, 24,572.38 and 9,738.86

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Solution

The fourth proportional to 17,806.80, 24,572.38 and 9,738.86 is: 13,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.80 : 24,572.38 = 9,738.86 : x
  2. Step 2: Convert to fraction form
    17,806.80/24,572.38 = 9,738.86/x
  3. Step 3: Cross multiply
    17,806.80x = 24,572.38 × 9,738.86
  4. Step 4: Simplify right side
    17,806.80x = 239,306,968.69
  5. Step 5: Solve for x
    x = 239,306,968.69/17,806.80
  6. Step 6: Final answer
    x = 13,439.08

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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.