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Finding the Fourth Proportional to 17,819.68, 24,591.22 and 9,643.28

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Solution

The fourth proportional to 17,819.68, 24,591.22 and 9,643.28 is: 13,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,819.68 : 24,591.22 = 9,643.28 : x
  2. Step 2: Convert to fraction form
    17,819.68/24,591.22 = 9,643.28/x
  3. Step 3: Cross multiply
    17,819.68x = 24,591.22 × 9,643.28
  4. Step 4: Simplify right side
    17,819.68x = 237,140,105.59
  5. Step 5: Solve for x
    x = 237,140,105.59/17,819.68
  6. Step 6: Final answer
    x = 13,307.76

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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.