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Finding the Fourth Proportional to 27,175.20, 40,696.96 and 13,813.03

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Solution

The fourth proportional to 27,175.20, 40,696.96 and 13,813.03 is: 20,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.20 : 40,696.96 = 13,813.03 : x
  2. Step 2: Convert to fraction form
    27,175.20/40,696.96 = 13,813.03/x
  3. Step 3: Cross multiply
    27,175.20x = 40,696.96 × 13,813.03
  4. Step 4: Simplify right side
    27,175.20x = 562,148,329.39
  5. Step 5: Solve for x
    x = 562,148,329.39/27,175.20
  6. Step 6: Final answer
    x = 20,686.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.