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Finding the Fourth Proportional to 17,853.84, 24,638.28 and 9,896.58

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Solution

The fourth proportional to 17,853.84, 24,638.28 and 9,896.58 is: 13,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.84 : 24,638.28 = 9,896.58 : x
  2. Step 2: Convert to fraction form
    17,853.84/24,638.28 = 9,896.58/x
  3. Step 3: Cross multiply
    17,853.84x = 24,638.28 × 9,896.58
  4. Step 4: Simplify right side
    17,853.84x = 243,834,709.08
  5. Step 5: Solve for x
    x = 243,834,709.08/17,853.84
  6. Step 6: Final answer
    x = 13,657.27

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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.