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Finding the Fourth Proportional to 19,473.99, 29,213.03 and 9,603.78

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Solution

The fourth proportional to 19,473.99, 29,213.03 and 9,603.78 is: 14,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473.99 : 29,213.03 = 9,603.78 : x
  2. Step 2: Convert to fraction form
    19,473.99/29,213.03 = 9,603.78/x
  3. Step 3: Cross multiply
    19,473.99x = 29,213.03 × 9,603.78
  4. Step 4: Simplify right side
    19,473.99x = 280,555,513.25
  5. Step 5: Solve for x
    x = 280,555,513.25/19,473.99
  6. Step 6: Final answer
    x = 14,406.68

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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.