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Finding the Fourth Proportional to 27,414.88, 37,832.40 and 14,839.60

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Solution

The fourth proportional to 27,414.88, 37,832.40 and 14,839.60 is: 20,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.88 : 37,832.40 = 14,839.60 : x
  2. Step 2: Convert to fraction form
    27,414.88/37,832.40 = 14,839.60/x
  3. Step 3: Cross multiply
    27,414.88x = 37,832.40 × 14,839.60
  4. Step 4: Simplify right side
    27,414.88x = 561,417,683.04
  5. Step 5: Solve for x
    x = 561,417,683.04/27,414.88
  6. Step 6: Final answer
    x = 20,478.58

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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.