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Finding the Fourth Proportional to 19,402.29, 29,097.36 and 12,863.16

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Solution

The fourth proportional to 19,402.29, 29,097.36 and 12,863.16 is: 19,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,402.29 : 29,097.36 = 12,863.16 : x
  2. Step 2: Convert to fraction form
    19,402.29/29,097.36 = 12,863.16/x
  3. Step 3: Cross multiply
    19,402.29x = 29,097.36 × 12,863.16
  4. Step 4: Simplify right side
    19,402.29x = 374,283,997.26
  5. Step 5: Solve for x
    x = 374,283,997.26/19,402.29
  6. Step 6: Final answer
    x = 19,290.71

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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.