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Finding the Fourth Proportional to 27,878.51, 41,807.21 and 11,232.88

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Solution

The fourth proportional to 27,878.51, 41,807.21 and 11,232.88 is: 16,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.51 : 41,807.21 = 11,232.88 : x
  2. Step 2: Convert to fraction form
    27,878.51/41,807.21 = 11,232.88/x
  3. Step 3: Cross multiply
    27,878.51x = 41,807.21 × 11,232.88
  4. Step 4: Simplify right side
    27,878.51x = 469,615,212.38
  5. Step 5: Solve for x
    x = 469,615,212.38/27,878.51
  6. Step 6: Final answer
    x = 16,845.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.