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Finding the Fourth Proportional to 19,824.36, 29,678.20 and 13,234.20

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Solution

The fourth proportional to 19,824.36, 29,678.20 and 13,234.20 is: 19,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.36 : 29,678.20 = 13,234.20 : x
  2. Step 2: Convert to fraction form
    19,824.36/29,678.20 = 13,234.20/x
  3. Step 3: Cross multiply
    19,824.36x = 29,678.20 × 13,234.20
  4. Step 4: Simplify right side
    19,824.36x = 392,767,201.35
  5. Step 5: Solve for x
    x = 392,767,201.35/19,824.36
  6. Step 6: Final answer
    x = 19,812.35

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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.