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Finding the Fourth Proportional to 21,308.36, 31,944.06 and 8,151.50

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Solution

The fourth proportional to 21,308.36, 31,944.06 and 8,151.50 is: 12,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.36 : 31,944.06 = 8,151.50 : x
  2. Step 2: Convert to fraction form
    21,308.36/31,944.06 = 8,151.50/x
  3. Step 3: Cross multiply
    21,308.36x = 31,944.06 × 8,151.50
  4. Step 4: Simplify right side
    21,308.36x = 260,391,845.37
  5. Step 5: Solve for x
    x = 260,391,845.37/21,308.36
  6. Step 6: Final answer
    x = 12,220.18

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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.