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Finding the Fourth Proportional to 19,702, 29,544.09 and 5,658.81

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Solution

The fourth proportional to 19,702, 29,544.09 and 5,658.81 is: 8,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702 : 29,544.09 = 5,658.81 : x
  2. Step 2: Convert to fraction form
    19,702/29,544.09 = 5,658.81/x
  3. Step 3: Cross multiply
    19,702x = 29,544.09 × 5,658.81
  4. Step 4: Simplify right side
    19,702x = 167,184,391.93
  5. Step 5: Solve for x
    x = 167,184,391.93/19,702
  6. Step 6: Final answer
    x = 8,485.66

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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.