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Finding the Fourth Proportional to 24,917.25, 37,376.01 and 6,449.25

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Solution

The fourth proportional to 24,917.25, 37,376.01 and 6,449.25 is: 9,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,917.25 : 37,376.01 = 6,449.25 : x
  2. Step 2: Convert to fraction form
    24,917.25/37,376.01 = 6,449.25/x
  3. Step 3: Cross multiply
    24,917.25x = 37,376.01 × 6,449.25
  4. Step 4: Simplify right side
    24,917.25x = 241,047,232.49
  5. Step 5: Solve for x
    x = 241,047,232.49/24,917.25
  6. Step 6: Final answer
    x = 9,673.91

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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.