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Finding the Fourth Proportional to 15,706.11, 21,672.34 and 9,735.61

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Solution

The fourth proportional to 15,706.11, 21,672.34 and 9,735.61 is: 13,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.11 : 21,672.34 = 9,735.61 : x
  2. Step 2: Convert to fraction form
    15,706.11/21,672.34 = 9,735.61/x
  3. Step 3: Cross multiply
    15,706.11x = 21,672.34 × 9,735.61
  4. Step 4: Simplify right side
    15,706.11x = 210,993,450.03
  5. Step 5: Solve for x
    x = 210,993,450.03/15,706.11
  6. Step 6: Final answer
    x = 13,433.85

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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.