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Finding the Fourth Proportional to 19,321.50, 28,973.81 and 6,837.38

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Solution

The fourth proportional to 19,321.50, 28,973.81 and 6,837.38 is: 10,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,321.50 : 28,973.81 = 6,837.38 : x
  2. Step 2: Convert to fraction form
    19,321.50/28,973.81 = 6,837.38/x
  3. Step 3: Cross multiply
    19,321.50x = 28,973.81 × 6,837.38
  4. Step 4: Simplify right side
    19,321.50x = 198,104,804.15
  5. Step 5: Solve for x
    x = 198,104,804.15/19,321.50
  6. Step 6: Final answer
    x = 10,253.08

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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.