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Finding the Fourth Proportional to 19,653.73, 29,480.69 and 5,614.00

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Solution

The fourth proportional to 19,653.73, 29,480.69 and 5,614.00 is: 8,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653.73 : 29,480.69 = 5,614.00 : x
  2. Step 2: Convert to fraction form
    19,653.73/29,480.69 = 5,614.00/x
  3. Step 3: Cross multiply
    19,653.73x = 29,480.69 × 5,614.00
  4. Step 4: Simplify right side
    19,653.73x = 165,504,418.19
  5. Step 5: Solve for x
    x = 165,504,418.19/19,653.73
  6. Step 6: Final answer
    x = 8,421.02

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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.