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Finding the Fourth Proportional to 16,228.92, 22,396.02 and 9,514.68

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Solution

The fourth proportional to 16,228.92, 22,396.02 and 9,514.68 is: 13,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.92 : 22,396.02 = 9,514.68 : x
  2. Step 2: Convert to fraction form
    16,228.92/22,396.02 = 9,514.68/x
  3. Step 3: Cross multiply
    16,228.92x = 22,396.02 × 9,514.68
  4. Step 4: Simplify right side
    16,228.92x = 213,090,963.57
  5. Step 5: Solve for x
    x = 213,090,963.57/16,228.92
  6. Step 6: Final answer
    x = 13,130.32

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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.