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Finding the Fourth Proportional to 12,213.53, 16,854.91 and 6,908.30

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Solution

The fourth proportional to 12,213.53, 16,854.91 and 6,908.30 is: 9,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.53 : 16,854.91 = 6,908.30 : x
  2. Step 2: Convert to fraction form
    12,213.53/16,854.91 = 6,908.30/x
  3. Step 3: Cross multiply
    12,213.53x = 16,854.91 × 6,908.30
  4. Step 4: Simplify right side
    12,213.53x = 116,438,673.21
  5. Step 5: Solve for x
    x = 116,438,673.21/12,213.53
  6. Step 6: Final answer
    x = 9,533.58

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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.