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Finding the Fourth Proportional to 22,345.67, 30,837.29 and 12,274.35

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Solution

The fourth proportional to 22,345.67, 30,837.29 and 12,274.35 is: 16,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.67 : 30,837.29 = 12,274.35 : x
  2. Step 2: Convert to fraction form
    22,345.67/30,837.29 = 12,274.35/x
  3. Step 3: Cross multiply
    22,345.67x = 30,837.29 × 12,274.35
  4. Step 4: Simplify right side
    22,345.67x = 378,507,629.14
  5. Step 5: Solve for x
    x = 378,507,629.14/22,345.67
  6. Step 6: Final answer
    x = 16,938.74

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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.