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Finding the Fourth Proportional to 12,423.86, 18,634.35 and 6,803.22

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Solution

The fourth proportional to 12,423.86, 18,634.35 and 6,803.22 is: 10,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.86 : 18,634.35 = 6,803.22 : x
  2. Step 2: Convert to fraction form
    12,423.86/18,634.35 = 6,803.22/x
  3. Step 3: Cross multiply
    12,423.86x = 18,634.35 × 6,803.22
  4. Step 4: Simplify right side
    12,423.86x = 126,773,582.61
  5. Step 5: Solve for x
    x = 126,773,582.61/12,423.86
  6. Step 6: Final answer
    x = 10,204.04

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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.