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Finding the Fourth Proportional to 23,407.68, 35,104.22 and 7,821.66

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Solution

The fourth proportional to 23,407.68, 35,104.22 and 7,821.66 is: 11,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.68 : 35,104.22 = 7,821.66 : x
  2. Step 2: Convert to fraction form
    23,407.68/35,104.22 = 7,821.66/x
  3. Step 3: Cross multiply
    23,407.68x = 35,104.22 × 7,821.66
  4. Step 4: Simplify right side
    23,407.68x = 274,573,234.30
  5. Step 5: Solve for x
    x = 274,573,234.30/23,407.68
  6. Step 6: Final answer
    x = 11,730.05

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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.