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Finding the Fourth Proportional to 27,102.68, 40,661.32 and 13,947.88

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Solution

The fourth proportional to 27,102.68, 40,661.32 and 13,947.88 is: 20,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.68 : 40,661.32 = 13,947.88 : x
  2. Step 2: Convert to fraction form
    27,102.68/40,661.32 = 13,947.88/x
  3. Step 3: Cross multiply
    27,102.68x = 40,661.32 × 13,947.88
  4. Step 4: Simplify right side
    27,102.68x = 567,139,212.00
  5. Step 5: Solve for x
    x = 567,139,212.00/27,102.68
  6. Step 6: Final answer
    x = 20,925.58

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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.