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Finding the Fourth Proportional to 15,410.82, 23,093.82 and 12,276.66

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Solution

The fourth proportional to 15,410.82, 23,093.82 and 12,276.66 is: 18,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410.82 : 23,093.82 = 12,276.66 : x
  2. Step 2: Convert to fraction form
    15,410.82/23,093.82 = 12,276.66/x
  3. Step 3: Cross multiply
    15,410.82x = 23,093.82 × 12,276.66
  4. Step 4: Simplify right side
    15,410.82x = 283,514,976.24
  5. Step 5: Solve for x
    x = 283,514,976.24/15,410.82
  6. Step 6: Final answer
    x = 18,397.14

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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.