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Finding the Fourth Proportional to 12,297.12, 16,963.56 and 8,319.58

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Solution

The fourth proportional to 12,297.12, 16,963.56 and 8,319.58 is: 11,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.12 : 16,963.56 = 8,319.58 : x
  2. Step 2: Convert to fraction form
    12,297.12/16,963.56 = 8,319.58/x
  3. Step 3: Cross multiply
    12,297.12x = 16,963.56 × 8,319.58
  4. Step 4: Simplify right side
    12,297.12x = 141,129,694.50
  5. Step 5: Solve for x
    x = 141,129,694.50/12,297.12
  6. Step 6: Final answer
    x = 11,476.65

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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.