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Finding the Fourth Proportional to 21,482.43, 32,217.39 and 7,441.89

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Solution

The fourth proportional to 21,482.43, 32,217.39 and 7,441.89 is: 11,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,482.43 : 32,217.39 = 7,441.89 : x
  2. Step 2: Convert to fraction form
    21,482.43/32,217.39 = 7,441.89/x
  3. Step 3: Cross multiply
    21,482.43x = 32,217.39 × 7,441.89
  4. Step 4: Simplify right side
    21,482.43x = 239,758,272.47
  5. Step 5: Solve for x
    x = 239,758,272.47/21,482.43
  6. Step 6: Final answer
    x = 11,160.67

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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.