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Finding the Fourth Proportional to 20,994.50, 31,491.76 and 7,143.50

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Solution

The fourth proportional to 20,994.50, 31,491.76 and 7,143.50 is: 10,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.50 : 31,491.76 = 7,143.50 : x
  2. Step 2: Convert to fraction form
    20,994.50/31,491.76 = 7,143.50/x
  3. Step 3: Cross multiply
    20,994.50x = 31,491.76 × 7,143.50
  4. Step 4: Simplify right side
    20,994.50x = 224,961,387.56
  5. Step 5: Solve for x
    x = 224,961,387.56/20,994.50
  6. Step 6: Final answer
    x = 10,715.25

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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.