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Finding the Fourth Proportional to 17,813.49, 24,582.72 and 9,855.84

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Solution

The fourth proportional to 17,813.49, 24,582.72 and 9,855.84 is: 13,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.49 : 24,582.72 = 9,855.84 : x
  2. Step 2: Convert to fraction form
    17,813.49/24,582.72 = 9,855.84/x
  3. Step 3: Cross multiply
    17,813.49x = 24,582.72 × 9,855.84
  4. Step 4: Simplify right side
    17,813.49x = 242,283,355.08
  5. Step 5: Solve for x
    x = 242,283,355.08/17,813.49
  6. Step 6: Final answer
    x = 13,601.12

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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.