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Finding the Fourth Proportional to 12,191.22, 16,823.51 and 6,813.52

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Solution

The fourth proportional to 12,191.22, 16,823.51 and 6,813.52 is: 9,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.22 : 16,823.51 = 6,813.52 : x
  2. Step 2: Convert to fraction form
    12,191.22/16,823.51 = 6,813.52/x
  3. Step 3: Cross multiply
    12,191.22x = 16,823.51 × 6,813.52
  4. Step 4: Simplify right side
    12,191.22x = 114,627,321.86
  5. Step 5: Solve for x
    x = 114,627,321.86/12,191.22
  6. Step 6: Final answer
    x = 9,402.45

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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.