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Finding the Fourth Proportional to 12,787.24, 17,650.74 and 9,643.72

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Solution

The fourth proportional to 12,787.24, 17,650.74 and 9,643.72 is: 13,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.24 : 17,650.74 = 9,643.72 : x
  2. Step 2: Convert to fraction form
    12,787.24/17,650.74 = 9,643.72/x
  3. Step 3: Cross multiply
    12,787.24x = 17,650.74 × 9,643.72
  4. Step 4: Simplify right side
    12,787.24x = 170,218,794.35
  5. Step 5: Solve for x
    x = 170,218,794.35/12,787.24
  6. Step 6: Final answer
    x = 13,311.61

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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.