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Finding the Fourth Proportional to 12,184.69, 16,816.71 and 8,842.66

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Solution

The fourth proportional to 12,184.69, 16,816.71 and 8,842.66 is: 12,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.69 : 16,816.71 = 8,842.66 : x
  2. Step 2: Convert to fraction form
    12,184.69/16,816.71 = 8,842.66/x
  3. Step 3: Cross multiply
    12,184.69x = 16,816.71 × 8,842.66
  4. Step 4: Simplify right side
    12,184.69x = 148,704,448.85
  5. Step 5: Solve for x
    x = 148,704,448.85/12,184.69
  6. Step 6: Final answer
    x = 12,204.20

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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.