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Finding the Fourth Proportional to 17,811.40, 24,581.28 and 9,855.34

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Solution

The fourth proportional to 17,811.40, 24,581.28 and 9,855.34 is: 13,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.40 : 24,581.28 = 9,855.34 : x
  2. Step 2: Convert to fraction form
    17,811.40/24,581.28 = 9,855.34/x
  3. Step 3: Cross multiply
    17,811.40x = 24,581.28 × 9,855.34
  4. Step 4: Simplify right side
    17,811.40x = 242,256,872.04
  5. Step 5: Solve for x
    x = 242,256,872.04/17,811.40
  6. Step 6: Final answer
    x = 13,601.23

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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.