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Finding the Fourth Proportional to 19,884.90, 29,781.96 and 9,503.94

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Solution

The fourth proportional to 19,884.90, 29,781.96 and 9,503.94 is: 14,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.90 : 29,781.96 = 9,503.94 : x
  2. Step 2: Convert to fraction form
    19,884.90/29,781.96 = 9,503.94/x
  3. Step 3: Cross multiply
    19,884.90x = 29,781.96 × 9,503.94
  4. Step 4: Simplify right side
    19,884.90x = 283,045,960.92
  5. Step 5: Solve for x
    x = 283,045,960.92/19,884.90
  6. Step 6: Final answer
    x = 14,234.22

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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.