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Finding the Fourth Proportional to 19,308.29, 28,971.47 and 6,837.73

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Solution

The fourth proportional to 19,308.29, 28,971.47 and 6,837.73 is: 10,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,308.29 : 28,971.47 = 6,837.73 : x
  2. Step 2: Convert to fraction form
    19,308.29/28,971.47 = 6,837.73/x
  3. Step 3: Cross multiply
    19,308.29x = 28,971.47 × 6,837.73
  4. Step 4: Simplify right side
    19,308.29x = 198,099,034.23
  5. Step 5: Solve for x
    x = 198,099,034.23/19,308.29
  6. Step 6: Final answer
    x = 10,259.79

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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.