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Finding the Fourth Proportional to 17,813.25, 24,581.25 and 9,855

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Solution

The fourth proportional to 17,813.25, 24,581.25 and 9,855 is: 13,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.25 : 24,581.25 = 9,855 : x
  2. Step 2: Convert to fraction form
    17,813.25/24,581.25 = 9,855/x
  3. Step 3: Cross multiply
    17,813.25x = 24,581.25 × 9,855
  4. Step 4: Simplify right side
    17,813.25x = 242,248,218.75
  5. Step 5: Solve for x
    x = 242,248,218.75/17,813.25
  6. Step 6: Final answer
    x = 13,599.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.