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Finding the Fourth Proportional to 27,677.68, 38,196.12 and 15,103.12

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Solution

The fourth proportional to 27,677.68, 38,196.12 and 15,103.12 is: 20,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.68 : 38,196.12 = 15,103.12 : x
  2. Step 2: Convert to fraction form
    27,677.68/38,196.12 = 15,103.12/x
  3. Step 3: Cross multiply
    27,677.68x = 38,196.12 × 15,103.12
  4. Step 4: Simplify right side
    27,677.68x = 576,880,583.89
  5. Step 5: Solve for x
    x = 576,880,583.89/27,677.68
  6. Step 6: Final answer
    x = 20,842.81

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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.