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Finding the Fourth Proportional to 17,647.80, 24,353.89 and 9,689.82

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Solution

The fourth proportional to 17,647.80, 24,353.89 and 9,689.82 is: 13,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.80 : 24,353.89 = 9,689.82 : x
  2. Step 2: Convert to fraction form
    17,647.80/24,353.89 = 9,689.82/x
  3. Step 3: Cross multiply
    17,647.80x = 24,353.89 × 9,689.82
  4. Step 4: Simplify right side
    17,647.80x = 235,984,810.40
  5. Step 5: Solve for x
    x = 235,984,810.40/17,647.80
  6. Step 6: Final answer
    x = 13,371.91

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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.