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Finding the Fourth Proportional to 15,871.79, 23,812.62 and 6,512.57

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Solution

The fourth proportional to 15,871.79, 23,812.62 and 6,512.57 is: 9,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.79 : 23,812.62 = 6,512.57 : x
  2. Step 2: Convert to fraction form
    15,871.79/23,812.62 = 6,512.57/x
  3. Step 3: Cross multiply
    15,871.79x = 23,812.62 × 6,512.57
  4. Step 4: Simplify right side
    15,871.79x = 155,081,359.40
  5. Step 5: Solve for x
    x = 155,081,359.40/15,871.79
  6. Step 6: Final answer
    x = 9,770.88

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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.