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Finding the Fourth Proportional to 15,178.62, 20,946.96 and 8,464.50

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Solution

The fourth proportional to 15,178.62, 20,946.96 and 8,464.50 is: 11,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.62 : 20,946.96 = 8,464.50 : x
  2. Step 2: Convert to fraction form
    15,178.62/20,946.96 = 8,464.50/x
  3. Step 3: Cross multiply
    15,178.62x = 20,946.96 × 8,464.50
  4. Step 4: Simplify right side
    15,178.62x = 177,305,542.92
  5. Step 5: Solve for x
    x = 177,305,542.92/15,178.62
  6. Step 6: Final answer
    x = 11,681.27

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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.