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Finding the Fourth Proportional to 17,685.16, 24,405.91 and 9,727.79

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Solution

The fourth proportional to 17,685.16, 24,405.91 and 9,727.79 is: 13,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.16 : 24,405.91 = 9,727.79 : x
  2. Step 2: Convert to fraction form
    17,685.16/24,405.91 = 9,727.79/x
  3. Step 3: Cross multiply
    17,685.16x = 24,405.91 × 9,727.79
  4. Step 4: Simplify right side
    17,685.16x = 237,415,420.89
  5. Step 5: Solve for x
    x = 237,415,420.89/17,685.16
  6. Step 6: Final answer
    x = 13,424.56

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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.