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Finding the Fourth Proportional to 22,023.36, 30,392.15 and 13,078.22

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Solution

The fourth proportional to 22,023.36, 30,392.15 and 13,078.22 is: 18,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.36 : 30,392.15 = 13,078.22 : x
  2. Step 2: Convert to fraction form
    22,023.36/30,392.15 = 13,078.22/x
  3. Step 3: Cross multiply
    22,023.36x = 30,392.15 × 13,078.22
  4. Step 4: Simplify right side
    22,023.36x = 397,475,234.56
  5. Step 5: Solve for x
    x = 397,475,234.56/22,023.36
  6. Step 6: Final answer
    x = 18,047.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.