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Finding the Fourth Proportional to 15,709.28, 21,682.88 and 9,737.44

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Solution

The fourth proportional to 15,709.28, 21,682.88 and 9,737.44 is: 13,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.28 : 21,682.88 = 9,737.44 : x
  2. Step 2: Convert to fraction form
    15,709.28/21,682.88 = 9,737.44/x
  3. Step 3: Cross multiply
    15,709.28x = 21,682.88 × 9,737.44
  4. Step 4: Simplify right side
    15,709.28x = 211,135,743.03
  5. Step 5: Solve for x
    x = 211,135,743.03/15,709.28
  6. Step 6: Final answer
    x = 13,440.19

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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.