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Finding the Fourth Proportional to 12,270.03, 16,915.64 and 8,284.83

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Solution

The fourth proportional to 12,270.03, 16,915.64 and 8,284.83 is: 11,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.03 : 16,915.64 = 8,284.83 : x
  2. Step 2: Convert to fraction form
    12,270.03/16,915.64 = 8,284.83/x
  3. Step 3: Cross multiply
    12,270.03x = 16,915.64 × 8,284.83
  4. Step 4: Simplify right side
    12,270.03x = 140,143,160.32
  5. Step 5: Solve for x
    x = 140,143,160.32/12,270.03
  6. Step 6: Final answer
    x = 11,421.58

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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.