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Finding the Fourth Proportional to 16,019.66, 22,107.47 and 8,946.09

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Solution

The fourth proportional to 16,019.66, 22,107.47 and 8,946.09 is: 12,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.66 : 22,107.47 = 8,946.09 : x
  2. Step 2: Convert to fraction form
    16,019.66/22,107.47 = 8,946.09/x
  3. Step 3: Cross multiply
    16,019.66x = 22,107.47 × 8,946.09
  4. Step 4: Simplify right side
    16,019.66x = 197,775,371.56
  5. Step 5: Solve for x
    x = 197,775,371.56/16,019.66
  6. Step 6: Final answer
    x = 12,345.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.