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Finding the Fourth Proportional to 22,429, 33,620.70 and 9,288.52

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Solution

The fourth proportional to 22,429, 33,620.70 and 9,288.52 is: 13,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429 : 33,620.70 = 9,288.52 : x
  2. Step 2: Convert to fraction form
    22,429/33,620.70 = 9,288.52/x
  3. Step 3: Cross multiply
    22,429x = 33,620.70 × 9,288.52
  4. Step 4: Simplify right side
    22,429x = 312,286,544.36
  5. Step 5: Solve for x
    x = 312,286,544.36/22,429
  6. Step 6: Final answer
    x = 13,923.34

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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.