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Finding the Fourth Proportional to 23,738.82, 35,607.84 and 9,695.76

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Solution

The fourth proportional to 23,738.82, 35,607.84 and 9,695.76 is: 14,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,738.82 : 35,607.84 = 9,695.76 : x
  2. Step 2: Convert to fraction form
    23,738.82/35,607.84 = 9,695.76/x
  3. Step 3: Cross multiply
    23,738.82x = 35,607.84 × 9,695.76
  4. Step 4: Simplify right side
    23,738.82x = 345,245,070.76
  5. Step 5: Solve for x
    x = 345,245,070.76/23,738.82
  6. Step 6: Final answer
    x = 14,543.48

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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.