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Finding the Fourth Proportional to 14,086.17, 21,129.12 and 11,441.07

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Solution

The fourth proportional to 14,086.17, 21,129.12 and 11,441.07 is: 17,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086.17 : 21,129.12 = 11,441.07 : x
  2. Step 2: Convert to fraction form
    14,086.17/21,129.12 = 11,441.07/x
  3. Step 3: Cross multiply
    14,086.17x = 21,129.12 × 11,441.07
  4. Step 4: Simplify right side
    14,086.17x = 241,739,740.96
  5. Step 5: Solve for x
    x = 241,739,740.96/14,086.17
  6. Step 6: Final answer
    x = 17,161.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.