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Finding the Fourth Proportional to 19,083.10, 28,619.17 and 6,431.47

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Solution

The fourth proportional to 19,083.10, 28,619.17 and 6,431.47 is: 9,645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,083.10 : 28,619.17 = 6,431.47 : x
  2. Step 2: Convert to fraction form
    19,083.10/28,619.17 = 6,431.47/x
  3. Step 3: Cross multiply
    19,083.10x = 28,619.17 × 6,431.47
  4. Step 4: Simplify right side
    19,083.10x = 184,063,333.28
  5. Step 5: Solve for x
    x = 184,063,333.28/19,083.10
  6. Step 6: Final answer
    x = 9,645.36

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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.