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Finding the Fourth Proportional to 19,219.75, 28,834.49 and 5,368.75

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Solution

The fourth proportional to 19,219.75, 28,834.49 and 5,368.75 is: 8,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,219.75 : 28,834.49 = 5,368.75 : x
  2. Step 2: Convert to fraction form
    19,219.75/28,834.49 = 5,368.75/x
  3. Step 3: Cross multiply
    19,219.75x = 28,834.49 × 5,368.75
  4. Step 4: Simplify right side
    19,219.75x = 154,805,168.19
  5. Step 5: Solve for x
    x = 154,805,168.19/19,219.75
  6. Step 6: Final answer
    x = 8,054.48

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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.