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Finding the Fourth Proportional to 21,429.96, 32,165.72 and 10,344.44

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Solution

The fourth proportional to 21,429.96, 32,165.72 and 10,344.44 is: 15,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,429.96 : 32,165.72 = 10,344.44 : x
  2. Step 2: Convert to fraction form
    21,429.96/32,165.72 = 10,344.44/x
  3. Step 3: Cross multiply
    21,429.96x = 32,165.72 × 10,344.44
  4. Step 4: Simplify right side
    21,429.96x = 332,736,148.05
  5. Step 5: Solve for x
    x = 332,736,148.05/21,429.96
  6. Step 6: Final answer
    x = 15,526.68

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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.