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Finding the Fourth Proportional to 17,922.80, 24,724 and 10,650.76

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Solution

The fourth proportional to 17,922.80, 24,724 and 10,650.76 is: 14,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.80 : 24,724 = 10,650.76 : x
  2. Step 2: Convert to fraction form
    17,922.80/24,724 = 10,650.76/x
  3. Step 3: Cross multiply
    17,922.80x = 24,724 × 10,650.76
  4. Step 4: Simplify right side
    17,922.80x = 263,329,390.24
  5. Step 5: Solve for x
    x = 263,329,390.24/17,922.80
  6. Step 6: Final answer
    x = 14,692.42

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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.