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Finding the Fourth Proportional to 23,863.20, 32,929.20 and 14,431.20

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Solution

The fourth proportional to 23,863.20, 32,929.20 and 14,431.20 is: 19,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.20 : 32,929.20 = 14,431.20 : x
  2. Step 2: Convert to fraction form
    23,863.20/32,929.20 = 14,431.20/x
  3. Step 3: Cross multiply
    23,863.20x = 32,929.20 × 14,431.20
  4. Step 4: Simplify right side
    23,863.20x = 475,207,871.04
  5. Step 5: Solve for x
    x = 475,207,871.04/23,863.20
  6. Step 6: Final answer
    x = 19,913.84

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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.