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Finding the Fourth Proportional to 18,826.80, 25,982.52 and 10,446

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Solution

The fourth proportional to 18,826.80, 25,982.52 and 10,446 is: 14,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,826.80 : 25,982.52 = 10,446 : x
  2. Step 2: Convert to fraction form
    18,826.80/25,982.52 = 10,446/x
  3. Step 3: Cross multiply
    18,826.80x = 25,982.52 × 10,446
  4. Step 4: Simplify right side
    18,826.80x = 271,413,403.92
  5. Step 5: Solve for x
    x = 271,413,403.92/18,826.80
  6. Step 6: Final answer
    x = 14,416.33

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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.