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Finding the Fourth Proportional to 19,314.37, 28,971.83 and 5,463.37

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Solution

The fourth proportional to 19,314.37, 28,971.83 and 5,463.37 is: 8,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314.37 : 28,971.83 = 5,463.37 : x
  2. Step 2: Convert to fraction form
    19,314.37/28,971.83 = 5,463.37/x
  3. Step 3: Cross multiply
    19,314.37x = 28,971.83 × 5,463.37
  4. Step 4: Simplify right side
    19,314.37x = 158,283,826.87
  5. Step 5: Solve for x
    x = 158,283,826.87/19,314.37
  6. Step 6: Final answer
    x = 8,195.13

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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.