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Finding the Fourth Proportional to 22,714.46, 31,344.38 and 14,216.22

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Solution

The fourth proportional to 22,714.46, 31,344.38 and 14,216.22 is: 19,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.46 : 31,344.38 = 14,216.22 : x
  2. Step 2: Convert to fraction form
    22,714.46/31,344.38 = 14,216.22/x
  3. Step 3: Cross multiply
    22,714.46x = 31,344.38 × 14,216.22
  4. Step 4: Simplify right side
    22,714.46x = 445,598,601.84
  5. Step 5: Solve for x
    x = 445,598,601.84/22,714.46
  6. Step 6: Final answer
    x = 19,617.40

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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.