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Finding the Fourth Proportional to 24,927.14, 37,396.86 and 7,396.95

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Solution

The fourth proportional to 24,927.14, 37,396.86 and 7,396.95 is: 11,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927.14 : 37,396.86 = 7,396.95 : x
  2. Step 2: Convert to fraction form
    24,927.14/37,396.86 = 7,396.95/x
  3. Step 3: Cross multiply
    24,927.14x = 37,396.86 × 7,396.95
  4. Step 4: Simplify right side
    24,927.14x = 276,622,816.08
  5. Step 5: Solve for x
    x = 276,622,816.08/24,927.14
  6. Step 6: Final answer
    x = 11,097.25

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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.