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Finding the Fourth Proportional to 20,498.36, 30,713.58 and 12,468.86

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Solution

The fourth proportional to 20,498.36, 30,713.58 and 12,468.86 is: 18,682.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.36 : 30,713.58 = 12,468.86 : x
  2. Step 2: Convert to fraction form
    20,498.36/30,713.58 = 12,468.86/x
  3. Step 3: Cross multiply
    20,498.36x = 30,713.58 × 12,468.86
  4. Step 4: Simplify right side
    20,498.36x = 382,963,329.12
  5. Step 5: Solve for x
    x = 382,963,329.12/20,498.36
  6. Step 6: Final answer
    x = 18,682.63

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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.