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Finding the Fourth Proportional to 19,757.12, 29,639.74 and 6,609.61

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Solution

The fourth proportional to 19,757.12, 29,639.74 and 6,609.61 is: 9,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.12 : 29,639.74 = 6,609.61 : x
  2. Step 2: Convert to fraction form
    19,757.12/29,639.74 = 6,609.61/x
  3. Step 3: Cross multiply
    19,757.12x = 29,639.74 × 6,609.61
  4. Step 4: Simplify right side
    19,757.12x = 195,907,031.28
  5. Step 5: Solve for x
    x = 195,907,031.28/19,757.12
  6. Step 6: Final answer
    x = 9,915.77

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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.