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Finding the Fourth Proportional to 36,294.63, 54,449.64 and 12,921

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Solution

The fourth proportional to 36,294.63, 54,449.64 and 12,921 is: 19,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,294.63 : 54,449.64 = 12,921 : x
  2. Step 2: Convert to fraction form
    36,294.63/54,449.64 = 12,921/x
  3. Step 3: Cross multiply
    36,294.63x = 54,449.64 × 12,921
  4. Step 4: Simplify right side
    36,294.63x = 703,543,798.44
  5. Step 5: Solve for x
    x = 703,543,798.44/36,294.63
  6. Step 6: Final answer
    x = 19,384.24

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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.