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Finding the Fourth Proportional to 34,212.72, 51,321.96 and 12,024.16

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Solution

The fourth proportional to 34,212.72, 51,321.96 and 12,024.16 is: 18,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,212.72 : 51,321.96 = 12,024.16 : x
  2. Step 2: Convert to fraction form
    34,212.72/51,321.96 = 12,024.16/x
  3. Step 3: Cross multiply
    34,212.72x = 51,321.96 × 12,024.16
  4. Step 4: Simplify right side
    34,212.72x = 617,103,458.55
  5. Step 5: Solve for x
    x = 617,103,458.55/34,212.72
  6. Step 6: Final answer
    x = 18,037.25

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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.