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Finding the Fourth Proportional to 22,292.60, 33,422.70 and 9,138.20

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Solution

The fourth proportional to 22,292.60, 33,422.70 and 9,138.20 is: 13,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292.60 : 33,422.70 = 9,138.20 : x
  2. Step 2: Convert to fraction form
    22,292.60/33,422.70 = 9,138.20/x
  3. Step 3: Cross multiply
    22,292.60x = 33,422.70 × 9,138.20
  4. Step 4: Simplify right side
    22,292.60x = 305,423,317.14
  5. Step 5: Solve for x
    x = 305,423,317.14/22,292.60
  6. Step 6: Final answer
    x = 13,700.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.