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Finding the Fourth Proportional to 22,385.66, 33,578.49 and 9,223.57

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Solution

The fourth proportional to 22,385.66, 33,578.49 and 9,223.57 is: 13,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385.66 : 33,578.49 = 9,223.57 : x
  2. Step 2: Convert to fraction form
    22,385.66/33,578.49 = 9,223.57/x
  3. Step 3: Cross multiply
    22,385.66x = 33,578.49 × 9,223.57
  4. Step 4: Simplify right side
    22,385.66x = 309,713,385.12
  5. Step 5: Solve for x
    x = 309,713,385.12/22,385.66
  6. Step 6: Final answer
    x = 13,835.35

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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.