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Finding the Fourth Proportional to 24,774.42, 37,169.19 and 7,906.98

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Solution

The fourth proportional to 24,774.42, 37,169.19 and 7,906.98 is: 11,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.42 : 37,169.19 = 7,906.98 : x
  2. Step 2: Convert to fraction form
    24,774.42/37,169.19 = 7,906.98/x
  3. Step 3: Cross multiply
    24,774.42x = 37,169.19 × 7,906.98
  4. Step 4: Simplify right side
    24,774.42x = 293,896,041.95
  5. Step 5: Solve for x
    x = 293,896,041.95/24,774.42
  6. Step 6: Final answer
    x = 11,862.88

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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.