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Finding the Fourth Proportional to 12,207.83, 16,847.10 and 6,830.08

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Solution

The fourth proportional to 12,207.83, 16,847.10 and 6,830.08 is: 9,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.83 : 16,847.10 = 6,830.08 : x
  2. Step 2: Convert to fraction form
    12,207.83/16,847.10 = 6,830.08/x
  3. Step 3: Cross multiply
    12,207.83x = 16,847.10 × 6,830.08
  4. Step 4: Simplify right side
    12,207.83x = 115,066,998.65
  5. Step 5: Solve for x
    x = 115,066,998.65/12,207.83
  6. Step 6: Final answer
    x = 9,425.68

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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.