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Finding the Fourth Proportional to 19,729.50, 29,608.83 and 9,341.25

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Solution

The fourth proportional to 19,729.50, 29,608.83 and 9,341.25 is: 14,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.50 : 29,608.83 = 9,341.25 : x
  2. Step 2: Convert to fraction form
    19,729.50/29,608.83 = 9,341.25/x
  3. Step 3: Cross multiply
    19,729.50x = 29,608.83 × 9,341.25
  4. Step 4: Simplify right side
    19,729.50x = 276,583,483.24
  5. Step 5: Solve for x
    x = 276,583,483.24/19,729.50
  6. Step 6: Final answer
    x = 14,018.78

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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.