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Finding the Fourth Proportional to 12,349.49, 18,520.93 and 3,464.29

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Solution

The fourth proportional to 12,349.49, 18,520.93 and 3,464.29 is: 5,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.49 : 18,520.93 = 3,464.29 : x
  2. Step 2: Convert to fraction form
    12,349.49/18,520.93 = 3,464.29/x
  3. Step 3: Cross multiply
    12,349.49x = 18,520.93 × 3,464.29
  4. Step 4: Simplify right side
    12,349.49x = 64,161,825.22
  5. Step 5: Solve for x
    x = 64,161,825.22/12,349.49
  6. Step 6: Final answer
    x = 5,195.50

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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.