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Finding the Fourth Proportional to 19,651.22, 27,114.02 and 11,151.48

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Solution

The fourth proportional to 19,651.22, 27,114.02 and 11,151.48 is: 15,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,651.22 : 27,114.02 = 11,151.48 : x
  2. Step 2: Convert to fraction form
    19,651.22/27,114.02 = 11,151.48/x
  3. Step 3: Cross multiply
    19,651.22x = 27,114.02 × 11,151.48
  4. Step 4: Simplify right side
    19,651.22x = 302,361,374.67
  5. Step 5: Solve for x
    x = 302,361,374.67/19,651.22
  6. Step 6: Final answer
    x = 15,386.39

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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.