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Finding the Fourth Proportional to 12,154.25, 16,772.65 and 6,849.07

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Solution

The fourth proportional to 12,154.25, 16,772.65 and 6,849.07 is: 9,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.25 : 16,772.65 = 6,849.07 : x
  2. Step 2: Convert to fraction form
    12,154.25/16,772.65 = 6,849.07/x
  3. Step 3: Cross multiply
    12,154.25x = 16,772.65 × 6,849.07
  4. Step 4: Simplify right side
    12,154.25x = 114,877,004.62
  5. Step 5: Solve for x
    x = 114,877,004.62/12,154.25
  6. Step 6: Final answer
    x = 9,451.59

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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.