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Finding the Fourth Proportional to 15,143.70, 22,672.35 and 9,311.70

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Solution

The fourth proportional to 15,143.70, 22,672.35 and 9,311.70 is: 13,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143.70 : 22,672.35 = 9,311.70 : x
  2. Step 2: Convert to fraction form
    15,143.70/22,672.35 = 9,311.70/x
  3. Step 3: Cross multiply
    15,143.70x = 22,672.35 × 9,311.70
  4. Step 4: Simplify right side
    15,143.70x = 211,118,121.50
  5. Step 5: Solve for x
    x = 211,118,121.50/15,143.70
  6. Step 6: Final answer
    x = 13,940.99

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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.