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Finding the Fourth Proportional to 24,664.66, 36,997.02 and 6,196.66

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Solution

The fourth proportional to 24,664.66, 36,997.02 and 6,196.66 is: 9,295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,664.66 : 36,997.02 = 6,196.66 : x
  2. Step 2: Convert to fraction form
    24,664.66/36,997.02 = 6,196.66/x
  3. Step 3: Cross multiply
    24,664.66x = 36,997.02 × 6,196.66
  4. Step 4: Simplify right side
    24,664.66x = 229,257,953.95
  5. Step 5: Solve for x
    x = 229,257,953.95/24,664.66
  6. Step 6: Final answer
    x = 9,295.00

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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.