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Finding the Fourth Proportional to 19,980.48, 29,970.70 and 6,832.96

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Solution

The fourth proportional to 19,980.48, 29,970.70 and 6,832.96 is: 10,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.48 : 29,970.70 = 6,832.96 : x
  2. Step 2: Convert to fraction form
    19,980.48/29,970.70 = 6,832.96/x
  3. Step 3: Cross multiply
    19,980.48x = 29,970.70 × 6,832.96
  4. Step 4: Simplify right side
    19,980.48x = 204,788,594.27
  5. Step 5: Solve for x
    x = 204,788,594.27/19,980.48
  6. Step 6: Final answer
    x = 10,249.43

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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.