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Finding the Fourth Proportional to 19,129.70, 28,696.19 and 5,278.70

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Solution

The fourth proportional to 19,129.70, 28,696.19 and 5,278.70 is: 7,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,129.70 : 28,696.19 = 5,278.70 : x
  2. Step 2: Convert to fraction form
    19,129.70/28,696.19 = 5,278.70/x
  3. Step 3: Cross multiply
    19,129.70x = 28,696.19 × 5,278.70
  4. Step 4: Simplify right side
    19,129.70x = 151,478,408.28
  5. Step 5: Solve for x
    x = 151,478,408.28/19,129.70
  6. Step 6: Final answer
    x = 7,918.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.