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Finding the Fourth Proportional to 24,928.94, 37,367.14 and 8,284.49

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Solution

The fourth proportional to 24,928.94, 37,367.14 and 8,284.49 is: 12,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,928.94 : 37,367.14 = 8,284.49 : x
  2. Step 2: Convert to fraction form
    24,928.94/37,367.14 = 8,284.49/x
  3. Step 3: Cross multiply
    24,928.94x = 37,367.14 × 8,284.49
  4. Step 4: Simplify right side
    24,928.94x = 309,567,656.24
  5. Step 5: Solve for x
    x = 309,567,656.24/24,928.94
  6. Step 6: Final answer
    x = 12,418.01

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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.