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Finding the Fourth Proportional to 24,945.86, 37,418.79 and 7,415.66

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Solution

The fourth proportional to 24,945.86, 37,418.79 and 7,415.66 is: 11,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,945.86 : 37,418.79 = 7,415.66 : x
  2. Step 2: Convert to fraction form
    24,945.86/37,418.79 = 7,415.66/x
  3. Step 3: Cross multiply
    24,945.86x = 37,418.79 × 7,415.66
  4. Step 4: Simplify right side
    24,945.86x = 277,485,024.25
  5. Step 5: Solve for x
    x = 277,485,024.25/24,945.86
  6. Step 6: Final answer
    x = 11,123.49

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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.