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Finding the Fourth Proportional to 22,594.83, 33,867.74 and 10,097.64

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Solution

The fourth proportional to 22,594.83, 33,867.74 and 10,097.64 is: 15,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.83 : 33,867.74 = 10,097.64 : x
  2. Step 2: Convert to fraction form
    22,594.83/33,867.74 = 10,097.64/x
  3. Step 3: Cross multiply
    22,594.83x = 33,867.74 × 10,097.64
  4. Step 4: Simplify right side
    22,594.83x = 341,984,195.65
  5. Step 5: Solve for x
    x = 341,984,195.65/22,594.83
  6. Step 6: Final answer
    x = 15,135.51

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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.