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Finding the Fourth Proportional to 12,257.68, 16,915.44 and 6,668.68

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Solution

The fourth proportional to 12,257.68, 16,915.44 and 6,668.68 is: 9,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.68 : 16,915.44 = 6,668.68 : x
  2. Step 2: Convert to fraction form
    12,257.68/16,915.44 = 6,668.68/x
  3. Step 3: Cross multiply
    12,257.68x = 16,915.44 × 6,668.68
  4. Step 4: Simplify right side
    12,257.68x = 112,803,656.42
  5. Step 5: Solve for x
    x = 112,803,656.42/12,257.68
  6. Step 6: Final answer
    x = 9,202.69

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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.