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Finding the Fourth Proportional to 19,937.40, 29,906.10 and 19,645.80

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Solution

The fourth proportional to 19,937.40, 29,906.10 and 19,645.80 is: 29,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,937.40 : 29,906.10 = 19,645.80 : x
  2. Step 2: Convert to fraction form
    19,937.40/29,906.10 = 19,645.80/x
  3. Step 3: Cross multiply
    19,937.40x = 29,906.10 × 19,645.80
  4. Step 4: Simplify right side
    19,937.40x = 587,529,259.38
  5. Step 5: Solve for x
    x = 587,529,259.38/19,937.40
  6. Step 6: Final answer
    x = 29,468.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.