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Finding the Fourth Proportional to 15,871.46, 23,812.05 and 10,020.02

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Solution

The fourth proportional to 15,871.46, 23,812.05 and 10,020.02 is: 15,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.46 : 23,812.05 = 10,020.02 : x
  2. Step 2: Convert to fraction form
    15,871.46/23,812.05 = 10,020.02/x
  3. Step 3: Cross multiply
    15,871.46x = 23,812.05 × 10,020.02
  4. Step 4: Simplify right side
    15,871.46x = 238,597,217.24
  5. Step 5: Solve for x
    x = 238,597,217.24/15,871.46
  6. Step 6: Final answer
    x = 15,033.10

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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.