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Finding the Fourth Proportional to 14,054.52, 19,396.38 and 7,767

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Solution

The fourth proportional to 14,054.52, 19,396.38 and 7,767 is: 10,719.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054.52 : 19,396.38 = 7,767 : x
  2. Step 2: Convert to fraction form
    14,054.52/19,396.38 = 7,767/x
  3. Step 3: Cross multiply
    14,054.52x = 19,396.38 × 7,767
  4. Step 4: Simplify right side
    14,054.52x = 150,651,683.46
  5. Step 5: Solve for x
    x = 150,651,683.46/14,054.52
  6. Step 6: Final answer
    x = 10,719.09

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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.