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Finding the Fourth Proportional to 27,005.76, 37,268.39 and 14,906.82

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Solution

The fourth proportional to 27,005.76, 37,268.39 and 14,906.82 is: 20,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005.76 : 37,268.39 = 14,906.82 : x
  2. Step 2: Convert to fraction form
    27,005.76/37,268.39 = 14,906.82/x
  3. Step 3: Cross multiply
    27,005.76x = 37,268.39 × 14,906.82
  4. Step 4: Simplify right side
    27,005.76x = 555,553,106.89
  5. Step 5: Solve for x
    x = 555,553,106.89/27,005.76
  6. Step 6: Final answer
    x = 20,571.65

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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.