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Finding the Fourth Proportional to 21,086.10, 31,632.26 and 7,941.56

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Solution

The fourth proportional to 21,086.10, 31,632.26 and 7,941.56 is: 11,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086.10 : 31,632.26 = 7,941.56 : x
  2. Step 2: Convert to fraction form
    21,086.10/31,632.26 = 7,941.56/x
  3. Step 3: Cross multiply
    21,086.10x = 31,632.26 × 7,941.56
  4. Step 4: Simplify right side
    21,086.10x = 251,209,292.86
  5. Step 5: Solve for x
    x = 251,209,292.86/21,086.10
  6. Step 6: Final answer
    x = 11,913.50

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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.