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Finding the Fourth Proportional to 22,024.34, 30,393.60 and 12,464.04

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Solution

The fourth proportional to 22,024.34, 30,393.60 and 12,464.04 is: 17,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.34 : 30,393.60 = 12,464.04 : x
  2. Step 2: Convert to fraction form
    22,024.34/30,393.60 = 12,464.04/x
  3. Step 3: Cross multiply
    22,024.34x = 30,393.60 × 12,464.04
  4. Step 4: Simplify right side
    22,024.34x = 378,827,046.14
  5. Step 5: Solve for x
    x = 378,827,046.14/22,024.34
  6. Step 6: Final answer
    x = 17,200.38

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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.