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Finding the Fourth Proportional to 19,097.38, 28,649.85 and 5,949.19

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Solution

The fourth proportional to 19,097.38, 28,649.85 and 5,949.19 is: 8,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097.38 : 28,649.85 = 5,949.19 : x
  2. Step 2: Convert to fraction form
    19,097.38/28,649.85 = 5,949.19/x
  3. Step 3: Cross multiply
    19,097.38x = 28,649.85 × 5,949.19
  4. Step 4: Simplify right side
    19,097.38x = 170,443,401.12
  5. Step 5: Solve for x
    x = 170,443,401.12/19,097.38
  6. Step 6: Final answer
    x = 8,924.96

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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.