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Finding the Fourth Proportional to 17,605.20, 24,282.54 and 11,311.50

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Solution

The fourth proportional to 17,605.20, 24,282.54 and 11,311.50 is: 15,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.20 : 24,282.54 = 11,311.50 : x
  2. Step 2: Convert to fraction form
    17,605.20/24,282.54 = 11,311.50/x
  3. Step 3: Cross multiply
    17,605.20x = 24,282.54 × 11,311.50
  4. Step 4: Simplify right side
    17,605.20x = 274,671,951.21
  5. Step 5: Solve for x
    x = 274,671,951.21/17,605.20
  6. Step 6: Final answer
    x = 15,601.75

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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.