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Finding the Fourth Proportional to 19,781.83, 29,684.43 and 7,310.67

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Solution

The fourth proportional to 19,781.83, 29,684.43 and 7,310.67 is: 10,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.83 : 29,684.43 = 7,310.67 : x
  2. Step 2: Convert to fraction form
    19,781.83/29,684.43 = 7,310.67/x
  3. Step 3: Cross multiply
    19,781.83x = 29,684.43 × 7,310.67
  4. Step 4: Simplify right side
    19,781.83x = 217,013,071.87
  5. Step 5: Solve for x
    x = 217,013,071.87/19,781.83
  6. Step 6: Final answer
    x = 10,970.32

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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.