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Finding the Fourth Proportional to 19,464.50, 29,215.21 and 12,046.52

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Solution

The fourth proportional to 19,464.50, 29,215.21 and 12,046.52 is: 18,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464.50 : 29,215.21 = 12,046.52 : x
  2. Step 2: Convert to fraction form
    19,464.50/29,215.21 = 12,046.52/x
  3. Step 3: Cross multiply
    19,464.50x = 29,215.21 × 12,046.52
  4. Step 4: Simplify right side
    19,464.50x = 351,941,611.57
  5. Step 5: Solve for x
    x = 351,941,611.57/19,464.50
  6. Step 6: Final answer
    x = 18,081.20

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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.