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Finding the Fourth Proportional to 14,067.74, 19,417.32 and 8,759.42

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Solution

The fourth proportional to 14,067.74, 19,417.32 and 8,759.42 is: 12,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.74 : 19,417.32 = 8,759.42 : x
  2. Step 2: Convert to fraction form
    14,067.74/19,417.32 = 8,759.42/x
  3. Step 3: Cross multiply
    14,067.74x = 19,417.32 × 8,759.42
  4. Step 4: Simplify right side
    14,067.74x = 170,084,461.15
  5. Step 5: Solve for x
    x = 170,084,461.15/14,067.74
  6. Step 6: Final answer
    x = 12,090.39

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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.