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Finding the Fourth Proportional to 12,282, 16,949.28 and 6,693.12

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Solution

The fourth proportional to 12,282, 16,949.28 and 6,693.12 is: 9,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282 : 16,949.28 = 6,693.12 : x
  2. Step 2: Convert to fraction form
    12,282/16,949.28 = 6,693.12/x
  3. Step 3: Cross multiply
    12,282x = 16,949.28 × 6,693.12
  4. Step 4: Simplify right side
    12,282x = 113,443,564.95
  5. Step 5: Solve for x
    x = 113,443,564.95/12,282
  6. Step 6: Final answer
    x = 9,236.57

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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.