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Finding the Fourth Proportional to 19,977.83, 29,958.96 and 7,491.04

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Solution

The fourth proportional to 19,977.83, 29,958.96 and 7,491.04 is: 11,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.83 : 29,958.96 = 7,491.04 : x
  2. Step 2: Convert to fraction form
    19,977.83/29,958.96 = 7,491.04/x
  3. Step 3: Cross multiply
    19,977.83x = 29,958.96 × 7,491.04
  4. Step 4: Simplify right side
    19,977.83x = 224,423,767.72
  5. Step 5: Solve for x
    x = 224,423,767.72/19,977.83
  6. Step 6: Final answer
    x = 11,233.64

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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.