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Finding the Fourth Proportional to 24,859.78, 37,280.79 and 8,216.74

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Solution

The fourth proportional to 24,859.78, 37,280.79 and 8,216.74 is: 12,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,859.78 : 37,280.79 = 8,216.74 : x
  2. Step 2: Convert to fraction form
    24,859.78/37,280.79 = 8,216.74/x
  3. Step 3: Cross multiply
    24,859.78x = 37,280.79 × 8,216.74
  4. Step 4: Simplify right side
    24,859.78x = 306,326,558.42
  5. Step 5: Solve for x
    x = 306,326,558.42/24,859.78
  6. Step 6: Final answer
    x = 12,322.17

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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.