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Finding the Fourth Proportional to 21,190.68, 29,236.38 and 12,237

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Solution

The fourth proportional to 21,190.68, 29,236.38 and 12,237 is: 16,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190.68 : 29,236.38 = 12,237 : x
  2. Step 2: Convert to fraction form
    21,190.68/29,236.38 = 12,237/x
  3. Step 3: Cross multiply
    21,190.68x = 29,236.38 × 12,237
  4. Step 4: Simplify right side
    21,190.68x = 357,765,582.06
  5. Step 5: Solve for x
    x = 357,765,582.06/21,190.68
  6. Step 6: Final answer
    x = 16,883.16

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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.