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Finding the Fourth Proportional to 17,711.94, 24,442.10 and 9,754.23

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Solution

The fourth proportional to 17,711.94, 24,442.10 and 9,754.23 is: 13,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.94 : 24,442.10 = 9,754.23 : x
  2. Step 2: Convert to fraction form
    17,711.94/24,442.10 = 9,754.23/x
  3. Step 3: Cross multiply
    17,711.94x = 24,442.10 × 9,754.23
  4. Step 4: Simplify right side
    17,711.94x = 238,413,865.08
  5. Step 5: Solve for x
    x = 238,413,865.08/17,711.94
  6. Step 6: Final answer
    x = 13,460.63

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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.