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Finding the Fourth Proportional to 23,582, 35,357.70 and 12,493.91

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Solution

The fourth proportional to 23,582, 35,357.70 and 12,493.91 is: 18,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,582 : 35,357.70 = 12,493.91 : x
  2. Step 2: Convert to fraction form
    23,582/35,357.70 = 12,493.91/x
  3. Step 3: Cross multiply
    23,582x = 35,357.70 × 12,493.91
  4. Step 4: Simplify right side
    23,582x = 441,755,921.61
  5. Step 5: Solve for x
    x = 441,755,921.61/23,582
  6. Step 6: Final answer
    x = 18,732.76

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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.