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Finding the Fourth Proportional to 24,713.25, 37,065.95 and 8,073.15

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Solution

The fourth proportional to 24,713.25, 37,065.95 and 8,073.15 is: 12,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.25 : 37,065.95 = 8,073.15 : x
  2. Step 2: Convert to fraction form
    24,713.25/37,065.95 = 8,073.15/x
  3. Step 3: Cross multiply
    24,713.25x = 37,065.95 × 8,073.15
  4. Step 4: Simplify right side
    24,713.25x = 299,238,933.88
  5. Step 5: Solve for x
    x = 299,238,933.88/24,713.25
  6. Step 6: Final answer
    x = 12,108.44

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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.