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Finding the Fourth Proportional to 12,872.00, 19,265.14 and 9,734.72

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Solution

The fourth proportional to 12,872.00, 19,265.14 and 9,734.72 is: 14,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.00 : 19,265.14 = 9,734.72 : x
  2. Step 2: Convert to fraction form
    12,872.00/19,265.14 = 9,734.72/x
  3. Step 3: Cross multiply
    12,872.00x = 19,265.14 × 9,734.72
  4. Step 4: Simplify right side
    12,872.00x = 187,540,659.50
  5. Step 5: Solve for x
    x = 187,540,659.50/12,872.00
  6. Step 6: Final answer
    x = 14,569.66

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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.