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Finding the Fourth Proportional to 16,699.92, 23,046.14 and 9,146.10

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Solution

The fourth proportional to 16,699.92, 23,046.14 and 9,146.10 is: 12,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,699.92 : 23,046.14 = 9,146.10 : x
  2. Step 2: Convert to fraction form
    16,699.92/23,046.14 = 9,146.10/x
  3. Step 3: Cross multiply
    16,699.92x = 23,046.14 × 9,146.10
  4. Step 4: Simplify right side
    16,699.92x = 210,782,301.05
  5. Step 5: Solve for x
    x = 210,782,301.05/16,699.92
  6. Step 6: Final answer
    x = 12,621.76

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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.