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Finding the Fourth Proportional to 14,322.18, 19,634.16 and 14,092.56

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Solution

The fourth proportional to 14,322.18, 19,634.16 and 14,092.56 is: 19,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.18 : 19,634.16 = 14,092.56 : x
  2. Step 2: Convert to fraction form
    14,322.18/19,634.16 = 14,092.56/x
  3. Step 3: Cross multiply
    14,322.18x = 19,634.16 × 14,092.56
  4. Step 4: Simplify right side
    14,322.18x = 276,695,577.85
  5. Step 5: Solve for x
    x = 276,695,577.85/14,322.18
  6. Step 6: Final answer
    x = 19,319.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.