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Finding the Fourth Proportional to 15,638.44, 23,455.14 and 6,871.72

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Solution

The fourth proportional to 15,638.44, 23,455.14 and 6,871.72 is: 10,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.44 : 23,455.14 = 6,871.72 : x
  2. Step 2: Convert to fraction form
    15,638.44/23,455.14 = 6,871.72/x
  3. Step 3: Cross multiply
    15,638.44x = 23,455.14 × 6,871.72
  4. Step 4: Simplify right side
    15,638.44x = 161,177,154.64
  5. Step 5: Solve for x
    x = 161,177,154.64/15,638.44
  6. Step 6: Final answer
    x = 10,306.47

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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.