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Finding the Fourth Proportional to 24,216.30, 33,418.07 and 14,784.86

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Solution

The fourth proportional to 24,216.30, 33,418.07 and 14,784.86 is: 20,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,216.30 : 33,418.07 = 14,784.86 : x
  2. Step 2: Convert to fraction form
    24,216.30/33,418.07 = 14,784.86/x
  3. Step 3: Cross multiply
    24,216.30x = 33,418.07 × 14,784.86
  4. Step 4: Simplify right side
    24,216.30x = 494,081,245.41
  5. Step 5: Solve for x
    x = 494,081,245.41/24,216.30
  6. Step 6: Final answer
    x = 20,402.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.