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Finding the Fourth Proportional to 13,682.16, 20,510.82 and 7,100.64

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Solution

The fourth proportional to 13,682.16, 20,510.82 and 7,100.64 is: 10,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.16 : 20,510.82 = 7,100.64 : x
  2. Step 2: Convert to fraction form
    13,682.16/20,510.82 = 7,100.64/x
  3. Step 3: Cross multiply
    13,682.16x = 20,510.82 × 7,100.64
  4. Step 4: Simplify right side
    13,682.16x = 145,639,948.92
  5. Step 5: Solve for x
    x = 145,639,948.92/13,682.16
  6. Step 6: Final answer
    x = 10,644.51

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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.