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Finding the Fourth Proportional to 17,648.24, 24,352.78 and 10,574.48

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Solution

The fourth proportional to 17,648.24, 24,352.78 and 10,574.48 is: 14,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.24 : 24,352.78 = 10,574.48 : x
  2. Step 2: Convert to fraction form
    17,648.24/24,352.78 = 10,574.48/x
  3. Step 3: Cross multiply
    17,648.24x = 24,352.78 × 10,574.48
  4. Step 4: Simplify right side
    17,648.24x = 257,517,985.05
  5. Step 5: Solve for x
    x = 257,517,985.05/17,648.24
  6. Step 6: Final answer
    x = 14,591.71

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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.