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Finding the Fourth Proportional to 15,963.90, 23,960.61 and 8,071.98

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Solution

The fourth proportional to 15,963.90, 23,960.61 and 8,071.98 is: 12,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,963.90 : 23,960.61 = 8,071.98 : x
  2. Step 2: Convert to fraction form
    15,963.90/23,960.61 = 8,071.98/x
  3. Step 3: Cross multiply
    15,963.90x = 23,960.61 × 8,071.98
  4. Step 4: Simplify right side
    15,963.90x = 193,409,564.71
  5. Step 5: Solve for x
    x = 193,409,564.71/15,963.90
  6. Step 6: Final answer
    x = 12,115.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.