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Finding the Fourth Proportional to 14,080.90, 19,409.31 and 11,092

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Solution

The fourth proportional to 14,080.90, 19,409.31 and 11,092 is: 15,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.90 : 19,409.31 = 11,092 : x
  2. Step 2: Convert to fraction form
    14,080.90/19,409.31 = 11,092/x
  3. Step 3: Cross multiply
    14,080.90x = 19,409.31 × 11,092
  4. Step 4: Simplify right side
    14,080.90x = 215,288,066.52
  5. Step 5: Solve for x
    x = 215,288,066.52/14,080.90
  6. Step 6: Final answer
    x = 15,289.37

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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.