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Finding the Fourth Proportional to 22,135.74, 33,203.61 and 8,281.50

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Solution

The fourth proportional to 22,135.74, 33,203.61 and 8,281.50 is: 12,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,135.74 : 33,203.61 = 8,281.50 : x
  2. Step 2: Convert to fraction form
    22,135.74/33,203.61 = 8,281.50/x
  3. Step 3: Cross multiply
    22,135.74x = 33,203.61 × 8,281.50
  4. Step 4: Simplify right side
    22,135.74x = 274,975,696.22
  5. Step 5: Solve for x
    x = 274,975,696.22/22,135.74
  6. Step 6: Final answer
    x = 12,422.25

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1.5x scale

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.