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Finding the Fourth Proportional to 16,324.97, 24,486.42 and 9,746.20

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Solution

The fourth proportional to 16,324.97, 24,486.42 and 9,746.20 is: 14,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.97 : 24,486.42 = 9,746.20 : x
  2. Step 2: Convert to fraction form
    16,324.97/24,486.42 = 9,746.20/x
  3. Step 3: Cross multiply
    16,324.97x = 24,486.42 × 9,746.20
  4. Step 4: Simplify right side
    16,324.97x = 238,649,448.54
  5. Step 5: Solve for x
    x = 238,649,448.54/16,324.97
  6. Step 6: Final answer
    x = 14,618.68

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1.5x scale

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.