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Finding the Fourth Proportional to 22,106.69, 33,165.50 and 10,268.94

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Solution

The fourth proportional to 22,106.69, 33,165.50 and 10,268.94 is: 15,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.69 : 33,165.50 = 10,268.94 : x
  2. Step 2: Convert to fraction form
    22,106.69/33,165.50 = 10,268.94/x
  3. Step 3: Cross multiply
    22,106.69x = 33,165.50 × 10,268.94
  4. Step 4: Simplify right side
    22,106.69x = 340,574,478.23
  5. Step 5: Solve for x
    x = 340,574,478.23/22,106.69
  6. Step 6: Final answer
    x = 15,405.95

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Why These Related Problems?

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