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Finding the Fourth Proportional to 12,208.75, 16,849.31 and 7,429.03

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Solution

The fourth proportional to 12,208.75, 16,849.31 and 7,429.03 is: 10,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.75 : 16,849.31 = 7,429.03 : x
  2. Step 2: Convert to fraction form
    12,208.75/16,849.31 = 7,429.03/x
  3. Step 3: Cross multiply
    12,208.75x = 16,849.31 × 7,429.03
  4. Step 4: Simplify right side
    12,208.75x = 125,173,950.20
  5. Step 5: Solve for x
    x = 125,173,950.20/12,208.75
  6. Step 6: Final answer
    x = 10,252.81

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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.