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Finding the Fourth Proportional to 12,200.80, 16,837.47 and 6,823.10

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Solution

The fourth proportional to 12,200.80, 16,837.47 and 6,823.10 is: 9,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.80 : 16,837.47 = 6,823.10 : x
  2. Step 2: Convert to fraction form
    12,200.80/16,837.47 = 6,823.10/x
  3. Step 3: Cross multiply
    12,200.80x = 16,837.47 × 6,823.10
  4. Step 4: Simplify right side
    12,200.80x = 114,883,712.62
  5. Step 5: Solve for x
    x = 114,883,712.62/12,200.80
  6. Step 6: Final answer
    x = 9,416.08

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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.