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Finding the Fourth Proportional to 22,624.48, 33,949.95 and 9,475.75

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Solution

The fourth proportional to 22,624.48, 33,949.95 and 9,475.75 is: 14,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.48 : 33,949.95 = 9,475.75 : x
  2. Step 2: Convert to fraction form
    22,624.48/33,949.95 = 9,475.75/x
  3. Step 3: Cross multiply
    22,624.48x = 33,949.95 × 9,475.75
  4. Step 4: Simplify right side
    22,624.48x = 321,701,021.58
  5. Step 5: Solve for x
    x = 321,701,021.58/22,624.48
  6. Step 6: Final answer
    x = 14,219.16

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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.