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Finding the Fourth Proportional to 17,685.98, 24,406.67 and 9,728.81

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Solution

The fourth proportional to 17,685.98, 24,406.67 and 9,728.81 is: 13,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.98 : 24,406.67 = 9,728.81 : x
  2. Step 2: Convert to fraction form
    17,685.98/24,406.67 = 9,728.81/x
  3. Step 3: Cross multiply
    17,685.98x = 24,406.67 × 9,728.81
  4. Step 4: Simplify right side
    17,685.98x = 237,447,806.52
  5. Step 5: Solve for x
    x = 237,447,806.52/17,685.98
  6. Step 6: Final answer
    x = 13,425.76

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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.