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Finding the Fourth Proportional to 27,813.64, 38,385.60 and 15,878.80

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Solution

The fourth proportional to 27,813.64, 38,385.60 and 15,878.80 is: 21,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.64 : 38,385.60 = 15,878.80 : x
  2. Step 2: Convert to fraction form
    27,813.64/38,385.60 = 15,878.80/x
  3. Step 3: Cross multiply
    27,813.64x = 38,385.60 × 15,878.80
  4. Step 4: Simplify right side
    27,813.64x = 609,517,265.28
  5. Step 5: Solve for x
    x = 609,517,265.28/27,813.64
  6. Step 6: Final answer
    x = 21,914.33

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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.