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Finding the Fourth Proportional to 27,813.76, 38,382.64 and 15,238.48

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Solution

The fourth proportional to 27,813.76, 38,382.64 and 15,238.48 is: 21,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.76 : 38,382.64 = 15,238.48 : x
  2. Step 2: Convert to fraction form
    27,813.76/38,382.64 = 15,238.48/x
  3. Step 3: Cross multiply
    27,813.76x = 38,382.64 × 15,238.48
  4. Step 4: Simplify right side
    27,813.76x = 584,893,091.99
  5. Step 5: Solve for x
    x = 584,893,091.99/27,813.76
  6. Step 6: Final answer
    x = 21,028.91

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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.