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Finding the Fourth Proportional to 29,053.83, 43,599.18 and 12,414

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Solution

The fourth proportional to 29,053.83, 43,599.18 and 12,414 is: 18,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,053.83 : 43,599.18 = 12,414 : x
  2. Step 2: Convert to fraction form
    29,053.83/43,599.18 = 12,414/x
  3. Step 3: Cross multiply
    29,053.83x = 43,599.18 × 12,414
  4. Step 4: Simplify right side
    29,053.83x = 541,240,220.52
  5. Step 5: Solve for x
    x = 541,240,220.52/29,053.83
  6. Step 6: Final answer
    x = 18,628.88

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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.