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Finding the Fourth Proportional to 22,342.48, 30,832.68 and 12,406.48

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Solution

The fourth proportional to 22,342.48, 30,832.68 and 12,406.48 is: 17,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.48 : 30,832.68 = 12,406.48 : x
  2. Step 2: Convert to fraction form
    22,342.48/30,832.68 = 12,406.48/x
  3. Step 3: Cross multiply
    22,342.48x = 30,832.68 × 12,406.48
  4. Step 4: Simplify right side
    22,342.48x = 382,525,027.77
  5. Step 5: Solve for x
    x = 382,525,027.77/22,342.48
  6. Step 6: Final answer
    x = 17,120.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.