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Finding the Fourth Proportional to 12,282.30, 16,949.43 and 7,246.53

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Solution

The fourth proportional to 12,282.30, 16,949.43 and 7,246.53 is: 10,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.30 : 16,949.43 = 7,246.53 : x
  2. Step 2: Convert to fraction form
    12,282.30/16,949.43 = 7,246.53/x
  3. Step 3: Cross multiply
    12,282.30x = 16,949.43 × 7,246.53
  4. Step 4: Simplify right side
    12,282.30x = 122,824,552.98
  5. Step 5: Solve for x
    x = 122,824,552.98/12,282.30
  6. Step 6: Final answer
    x = 10,000.13

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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.