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Finding the Fourth Proportional to 22,262.45, 30,722.16 and 12,326.45

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Solution

The fourth proportional to 22,262.45, 30,722.16 and 12,326.45 is: 17,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.45 : 30,722.16 = 12,326.45 : x
  2. Step 2: Convert to fraction form
    22,262.45/30,722.16 = 12,326.45/x
  3. Step 3: Cross multiply
    22,262.45x = 30,722.16 × 12,326.45
  4. Step 4: Simplify right side
    22,262.45x = 378,695,015.52
  5. Step 5: Solve for x
    x = 378,695,015.52/22,262.45
  6. Step 6: Final answer
    x = 17,010.49

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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.