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Finding the Fourth Proportional to 24,896.74, 37,349.64 and 8,256.90

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Solution

The fourth proportional to 24,896.74, 37,349.64 and 8,256.90 is: 12,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896.74 : 37,349.64 = 8,256.90 : x
  2. Step 2: Convert to fraction form
    24,896.74/37,349.64 = 8,256.90/x
  3. Step 3: Cross multiply
    24,896.74x = 37,349.64 × 8,256.90
  4. Step 4: Simplify right side
    24,896.74x = 308,392,242.52
  5. Step 5: Solve for x
    x = 308,392,242.52/24,896.74
  6. Step 6: Final answer
    x = 12,386.85

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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.