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Finding the Fourth Proportional to 19,682.90, 27,161.73 and 10,730.26

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Solution

The fourth proportional to 19,682.90, 27,161.73 and 10,730.26 is: 14,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.90 : 27,161.73 = 10,730.26 : x
  2. Step 2: Convert to fraction form
    19,682.90/27,161.73 = 10,730.26/x
  3. Step 3: Cross multiply
    19,682.90x = 27,161.73 × 10,730.26
  4. Step 4: Simplify right side
    19,682.90x = 291,452,424.95
  5. Step 5: Solve for x
    x = 291,452,424.95/19,682.90
  6. Step 6: Final answer
    x = 14,807.39

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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.