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Finding the Fourth Proportional to 14,651.92, 21,977.18 and 4,789.92

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Solution

The fourth proportional to 14,651.92, 21,977.18 and 4,789.92 is: 7,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.92 : 21,977.18 = 4,789.92 : x
  2. Step 2: Convert to fraction form
    14,651.92/21,977.18 = 4,789.92/x
  3. Step 3: Cross multiply
    14,651.92x = 21,977.18 × 4,789.92
  4. Step 4: Simplify right side
    14,651.92x = 105,268,934.03
  5. Step 5: Solve for x
    x = 105,268,934.03/14,651.92
  6. Step 6: Final answer
    x = 7,184.65

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Why These Related Problems?

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