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Finding the Fourth Proportional to 15,697.70, 23,584.95 and 11,809.70

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Solution

The fourth proportional to 15,697.70, 23,584.95 and 11,809.70 is: 17,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.70 : 23,584.95 = 11,809.70 : x
  2. Step 2: Convert to fraction form
    15,697.70/23,584.95 = 11,809.70/x
  3. Step 3: Cross multiply
    15,697.70x = 23,584.95 × 11,809.70
  4. Step 4: Simplify right side
    15,697.70x = 278,531,184.02
  5. Step 5: Solve for x
    x = 278,531,184.02/15,697.70
  6. Step 6: Final answer
    x = 17,743.44

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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.