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Finding the Fourth Proportional to 16,182.27, 24,276.65 and 5,091.75

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Solution

The fourth proportional to 16,182.27, 24,276.65 and 5,091.75 is: 7,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.27 : 24,276.65 = 5,091.75 : x
  2. Step 2: Convert to fraction form
    16,182.27/24,276.65 = 5,091.75/x
  3. Step 3: Cross multiply
    16,182.27x = 24,276.65 × 5,091.75
  4. Step 4: Simplify right side
    16,182.27x = 123,610,607.18
  5. Step 5: Solve for x
    x = 123,610,607.18/16,182.27
  6. Step 6: Final answer
    x = 7,638.64

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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.