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Finding the Fourth Proportional to 22,274.24, 30,729.90 and 12,714.68

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Solution

The fourth proportional to 22,274.24, 30,729.90 and 12,714.68 is: 17,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.24 : 30,729.90 = 12,714.68 : x
  2. Step 2: Convert to fraction form
    22,274.24/30,729.90 = 12,714.68/x
  3. Step 3: Cross multiply
    22,274.24x = 30,729.90 × 12,714.68
  4. Step 4: Simplify right side
    22,274.24x = 390,720,844.93
  5. Step 5: Solve for x
    x = 390,720,844.93/22,274.24
  6. Step 6: Final answer
    x = 17,541.38

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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.