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Finding the Fourth Proportional to 22,513.85, 33,774.48 and 9,367.14

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Solution

The fourth proportional to 22,513.85, 33,774.48 and 9,367.14 is: 14,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.85 : 33,774.48 = 9,367.14 : x
  2. Step 2: Convert to fraction form
    22,513.85/33,774.48 = 9,367.14/x
  3. Step 3: Cross multiply
    22,513.85x = 33,774.48 × 9,367.14
  4. Step 4: Simplify right side
    22,513.85x = 316,370,235.75
  5. Step 5: Solve for x
    x = 316,370,235.75/22,513.85
  6. Step 6: Final answer
    x = 14,052.25

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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.