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Finding the Fourth Proportional to 17,647.74, 24,352.09 and 10,573.98

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Solution

The fourth proportional to 17,647.74, 24,352.09 and 10,573.98 is: 14,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.74 : 24,352.09 = 10,573.98 : x
  2. Step 2: Convert to fraction form
    17,647.74/24,352.09 = 10,573.98/x
  3. Step 3: Cross multiply
    17,647.74x = 24,352.09 × 10,573.98
  4. Step 4: Simplify right side
    17,647.74x = 257,498,512.62
  5. Step 5: Solve for x
    x = 257,498,512.62/17,647.74
  6. Step 6: Final answer
    x = 14,591.02

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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.