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Finding the Fourth Proportional to 16,289.91, 22,479.44 and 9,120.47

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Solution

The fourth proportional to 16,289.91, 22,479.44 and 9,120.47 is: 12,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.91 : 22,479.44 = 9,120.47 : x
  2. Step 2: Convert to fraction form
    16,289.91/22,479.44 = 9,120.47/x
  3. Step 3: Cross multiply
    16,289.91x = 22,479.44 × 9,120.47
  4. Step 4: Simplify right side
    16,289.91x = 205,022,900.14
  5. Step 5: Solve for x
    x = 205,022,900.14/16,289.91
  6. Step 6: Final answer
    x = 12,585.88

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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.