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Finding the Fourth Proportional to 24,944.75, 37,423.29 and 7,414.51

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Solution

The fourth proportional to 24,944.75, 37,423.29 and 7,414.51 is: 11,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,944.75 : 37,423.29 = 7,414.51 : x
  2. Step 2: Convert to fraction form
    24,944.75/37,423.29 = 7,414.51/x
  3. Step 3: Cross multiply
    24,944.75x = 37,423.29 × 7,414.51
  4. Step 4: Simplify right side
    24,944.75x = 277,475,170.82
  5. Step 5: Solve for x
    x = 277,475,170.82/24,944.75
  6. Step 6: Final answer
    x = 11,123.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.