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Finding the Fourth Proportional to 19,826.70, 29,720.94 and 7,343.31

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Solution

The fourth proportional to 19,826.70, 29,720.94 and 7,343.31 is: 11,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.70 : 29,720.94 = 7,343.31 : x
  2. Step 2: Convert to fraction form
    19,826.70/29,720.94 = 7,343.31/x
  3. Step 3: Cross multiply
    19,826.70x = 29,720.94 × 7,343.31
  4. Step 4: Simplify right side
    19,826.70x = 218,250,075.91
  5. Step 5: Solve for x
    x = 218,250,075.91/19,826.70
  6. Step 6: Final answer
    x = 11,007.89

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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.