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Finding the Fourth Proportional to 22,632.21, 33,948.72 and 7,050.24

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Solution

The fourth proportional to 22,632.21, 33,948.72 and 7,050.24 is: 10,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.21 : 33,948.72 = 7,050.24 : x
  2. Step 2: Convert to fraction form
    22,632.21/33,948.72 = 7,050.24/x
  3. Step 3: Cross multiply
    22,632.21x = 33,948.72 × 7,050.24
  4. Step 4: Simplify right side
    22,632.21x = 239,346,623.69
  5. Step 5: Solve for x
    x = 239,346,623.69/22,632.21
  6. Step 6: Final answer
    x = 10,575.49

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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.