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Finding the Fourth Proportional to 17,813.39, 24,582.29 and 9,855.27

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Solution

The fourth proportional to 17,813.39, 24,582.29 and 9,855.27 is: 13,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.39 : 24,582.29 = 9,855.27 : x
  2. Step 2: Convert to fraction form
    17,813.39/24,582.29 = 9,855.27/x
  3. Step 3: Cross multiply
    17,813.39x = 24,582.29 × 9,855.27
  4. Step 4: Simplify right side
    17,813.39x = 242,265,055.89
  5. Step 5: Solve for x
    x = 242,265,055.89/17,813.39
  6. Step 6: Final answer
    x = 13,600.17

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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.