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Finding the Fourth Proportional to 24,933.86, 37,400.50 and 7,164.95

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Solution

The fourth proportional to 24,933.86, 37,400.50 and 7,164.95 is: 10,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,933.86 : 37,400.50 = 7,164.95 : x
  2. Step 2: Convert to fraction form
    24,933.86/37,400.50 = 7,164.95/x
  3. Step 3: Cross multiply
    24,933.86x = 37,400.50 × 7,164.95
  4. Step 4: Simplify right side
    24,933.86x = 267,972,712.48
  5. Step 5: Solve for x
    x = 267,972,712.48/24,933.86
  6. Step 6: Final answer
    x = 10,747.34

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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.