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Finding the Fourth Proportional to 19,926.63, 29,892.78 and 6,781.14

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Solution

The fourth proportional to 19,926.63, 29,892.78 and 6,781.14 is: 10,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,926.63 : 29,892.78 = 6,781.14 : x
  2. Step 2: Convert to fraction form
    19,926.63/29,892.78 = 6,781.14/x
  3. Step 3: Cross multiply
    19,926.63x = 29,892.78 × 6,781.14
  4. Step 4: Simplify right side
    19,926.63x = 202,707,126.17
  5. Step 5: Solve for x
    x = 202,707,126.17/19,926.63
  6. Step 6: Final answer
    x = 10,172.67

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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.