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Finding the Fourth Proportional to 17,853.98, 24,635.94 and 9,896.66

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Solution

The fourth proportional to 17,853.98, 24,635.94 and 9,896.66 is: 13,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.98 : 24,635.94 = 9,896.66 : x
  2. Step 2: Convert to fraction form
    17,853.98/24,635.94 = 9,896.66/x
  3. Step 3: Cross multiply
    17,853.98x = 24,635.94 × 9,896.66
  4. Step 4: Simplify right side
    17,853.98x = 243,813,521.96
  5. Step 5: Solve for x
    x = 243,813,521.96/17,853.98
  6. Step 6: Final answer
    x = 13,655.98

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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.