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Finding the Fourth Proportional to 22,393.98, 30,902.85 and 12,322.32

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Solution

The fourth proportional to 22,393.98, 30,902.85 and 12,322.32 is: 17,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,393.98 : 30,902.85 = 12,322.32 : x
  2. Step 2: Convert to fraction form
    22,393.98/30,902.85 = 12,322.32/x
  3. Step 3: Cross multiply
    22,393.98x = 30,902.85 × 12,322.32
  4. Step 4: Simplify right side
    22,393.98x = 380,794,806.61
  5. Step 5: Solve for x
    x = 380,794,806.61/22,393.98
  6. Step 6: Final answer
    x = 17,004.34

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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.