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Finding the Fourth Proportional to 19,494, 29,219.04 and 9,640.20

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Solution

The fourth proportional to 19,494, 29,219.04 and 9,640.20 is: 14,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494 : 29,219.04 = 9,640.20 : x
  2. Step 2: Convert to fraction form
    19,494/29,219.04 = 9,640.20/x
  3. Step 3: Cross multiply
    19,494x = 29,219.04 × 9,640.20
  4. Step 4: Simplify right side
    19,494x = 281,677,389.41
  5. Step 5: Solve for x
    x = 281,677,389.41/19,494
  6. Step 6: Final answer
    x = 14,449.44

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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.