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Finding the Fourth Proportional to 17,847.69, 24,629.85 and 9,889.77

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Solution

The fourth proportional to 17,847.69, 24,629.85 and 9,889.77 is: 13,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.69 : 24,629.85 = 9,889.77 : x
  2. Step 2: Convert to fraction form
    17,847.69/24,629.85 = 9,889.77/x
  3. Step 3: Cross multiply
    17,847.69x = 24,629.85 × 9,889.77
  4. Step 4: Simplify right side
    17,847.69x = 243,583,551.63
  5. Step 5: Solve for x
    x = 243,583,551.63/17,847.69
  6. Step 6: Final answer
    x = 13,647.90

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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.