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Finding the Fourth Proportional to 20,175.81, 27,841.95 and 11,223.06

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Solution

The fourth proportional to 20,175.81, 27,841.95 and 11,223.06 is: 15,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.81 : 27,841.95 = 11,223.06 : x
  2. Step 2: Convert to fraction form
    20,175.81/27,841.95 = 11,223.06/x
  3. Step 3: Cross multiply
    20,175.81x = 27,841.95 × 11,223.06
  4. Step 4: Simplify right side
    20,175.81x = 312,471,875.37
  5. Step 5: Solve for x
    x = 312,471,875.37/20,175.81
  6. Step 6: Final answer
    x = 15,487.45

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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.