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Finding the Fourth Proportional to 17,548.71, 24,217.23 and 9,995.75

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Solution

The fourth proportional to 17,548.71, 24,217.23 and 9,995.75 is: 13,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,548.71 : 24,217.23 = 9,995.75 : x
  2. Step 2: Convert to fraction form
    17,548.71/24,217.23 = 9,995.75/x
  3. Step 3: Cross multiply
    17,548.71x = 24,217.23 × 9,995.75
  4. Step 4: Simplify right side
    17,548.71x = 242,069,326.79
  5. Step 5: Solve for x
    x = 242,069,326.79/17,548.71
  6. Step 6: Final answer
    x = 13,794.14

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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.