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Finding the Fourth Proportional to 14,053.26, 19,393.38 and 7,765.50

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Solution

The fourth proportional to 14,053.26, 19,393.38 and 7,765.50 is: 10,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.26 : 19,393.38 = 7,765.50 : x
  2. Step 2: Convert to fraction form
    14,053.26/19,393.38 = 7,765.50/x
  3. Step 3: Cross multiply
    14,053.26x = 19,393.38 × 7,765.50
  4. Step 4: Simplify right side
    14,053.26x = 150,599,292.39
  5. Step 5: Solve for x
    x = 150,599,292.39/14,053.26
  6. Step 6: Final answer
    x = 10,716.32

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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.