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Finding the Fourth Proportional to 14,756.26, 22,142.49 and 6,964.87

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Solution

The fourth proportional to 14,756.26, 22,142.49 and 6,964.87 is: 10,451.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.26 : 22,142.49 = 6,964.87 : x
  2. Step 2: Convert to fraction form
    14,756.26/22,142.49 = 6,964.87/x
  3. Step 3: Cross multiply
    14,756.26x = 22,142.49 × 6,964.87
  4. Step 4: Simplify right side
    14,756.26x = 154,219,564.33
  5. Step 5: Solve for x
    x = 154,219,564.33/14,756.26
  6. Step 6: Final answer
    x = 10,451.13

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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.