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Finding the Fourth Proportional to 19,915.64, 29,874.16 and 6,766.30

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Solution

The fourth proportional to 19,915.64, 29,874.16 and 6,766.30 is: 10,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,915.64 : 29,874.16 = 6,766.30 : x
  2. Step 2: Convert to fraction form
    19,915.64/29,874.16 = 6,766.30/x
  3. Step 3: Cross multiply
    19,915.64x = 29,874.16 × 6,766.30
  4. Step 4: Simplify right side
    19,915.64x = 202,137,528.81
  5. Step 5: Solve for x
    x = 202,137,528.81/19,915.64
  6. Step 6: Final answer
    x = 10,149.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.