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Finding the Fourth Proportional to 20,588.84, 30,883.24 and 7,441.16

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Solution

The fourth proportional to 20,588.84, 30,883.24 and 7,441.16 is: 11,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.84 : 30,883.24 = 7,441.16 : x
  2. Step 2: Convert to fraction form
    20,588.84/30,883.24 = 7,441.16/x
  3. Step 3: Cross multiply
    20,588.84x = 30,883.24 × 7,441.16
  4. Step 4: Simplify right side
    20,588.84x = 229,807,130.16
  5. Step 5: Solve for x
    x = 229,807,130.16/20,588.84
  6. Step 6: Final answer
    x = 11,161.73

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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.