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Finding the Fourth Proportional to 17,540.69, 24,206.24 and 10,465.34

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Solution

The fourth proportional to 17,540.69, 24,206.24 and 10,465.34 is: 14,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.69 : 24,206.24 = 10,465.34 : x
  2. Step 2: Convert to fraction form
    17,540.69/24,206.24 = 10,465.34/x
  3. Step 3: Cross multiply
    17,540.69x = 24,206.24 × 10,465.34
  4. Step 4: Simplify right side
    17,540.69x = 253,326,436.85
  5. Step 5: Solve for x
    x = 253,326,436.85/17,540.69
  6. Step 6: Final answer
    x = 14,442.22

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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.