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Finding the Fourth Proportional to 14,240.62, 19,651.94 and 7,867.62

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Solution

The fourth proportional to 14,240.62, 19,651.94 and 7,867.62 is: 10,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.62 : 19,651.94 = 7,867.62 : x
  2. Step 2: Convert to fraction form
    14,240.62/19,651.94 = 7,867.62/x
  3. Step 3: Cross multiply
    14,240.62x = 19,651.94 × 7,867.62
  4. Step 4: Simplify right side
    14,240.62x = 154,613,996.18
  5. Step 5: Solve for x
    x = 154,613,996.18/14,240.62
  6. Step 6: Final answer
    x = 10,857.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.