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Finding the Fourth Proportional to 14,265.44, 19,686.36 and 8,216.48

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Solution

The fourth proportional to 14,265.44, 19,686.36 and 8,216.48 is: 11,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.44 : 19,686.36 = 8,216.48 : x
  2. Step 2: Convert to fraction form
    14,265.44/19,686.36 = 8,216.48/x
  3. Step 3: Cross multiply
    14,265.44x = 19,686.36 × 8,216.48
  4. Step 4: Simplify right side
    14,265.44x = 161,752,583.21
  5. Step 5: Solve for x
    x = 161,752,583.21/14,265.44
  6. Step 6: Final answer
    x = 11,338.77

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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.