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Finding the Fourth Proportional to 21,441.68, 32,169.04 and 14,449.76

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Solution

The fourth proportional to 21,441.68, 32,169.04 and 14,449.76 is: 21,679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441.68 : 32,169.04 = 14,449.76 : x
  2. Step 2: Convert to fraction form
    21,441.68/32,169.04 = 14,449.76/x
  3. Step 3: Cross multiply
    21,441.68x = 32,169.04 × 14,449.76
  4. Step 4: Simplify right side
    21,441.68x = 464,834,907.43
  5. Step 5: Solve for x
    x = 464,834,907.43/21,441.68
  6. Step 6: Final answer
    x = 21,679.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.