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Finding the Fourth Proportional to 17,854.62, 24,638.97 and 9,896.77

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Solution

The fourth proportional to 17,854.62, 24,638.97 and 9,896.77 is: 13,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.62 : 24,638.97 = 9,896.77 : x
  2. Step 2: Convert to fraction form
    17,854.62/24,638.97 = 9,896.77/x
  3. Step 3: Cross multiply
    17,854.62x = 24,638.97 × 9,896.77
  4. Step 4: Simplify right side
    17,854.62x = 243,846,219.13
  5. Step 5: Solve for x
    x = 243,846,219.13/17,854.62
  6. Step 6: Final answer
    x = 13,657.32

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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.