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Finding the Fourth Proportional to 22,356.96, 33,501.41 and 9,193.65

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Solution

The fourth proportional to 22,356.96, 33,501.41 and 9,193.65 is: 13,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.96 : 33,501.41 = 9,193.65 : x
  2. Step 2: Convert to fraction form
    22,356.96/33,501.41 = 9,193.65/x
  3. Step 3: Cross multiply
    22,356.96x = 33,501.41 × 9,193.65
  4. Step 4: Simplify right side
    22,356.96x = 308,000,238.05
  5. Step 5: Solve for x
    x = 308,000,238.05/22,356.96
  6. Step 6: Final answer
    x = 13,776.48

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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.