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Finding the Fourth Proportional to 19,271.84, 28,913.20 and 6,795

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Solution

The fourth proportional to 19,271.84, 28,913.20 and 6,795 is: 10,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,271.84 : 28,913.20 = 6,795 : x
  2. Step 2: Convert to fraction form
    19,271.84/28,913.20 = 6,795/x
  3. Step 3: Cross multiply
    19,271.84x = 28,913.20 × 6,795
  4. Step 4: Simplify right side
    19,271.84x = 196,465,194
  5. Step 5: Solve for x
    x = 196,465,194/19,271.84
  6. Step 6: Final answer
    x = 10,194.42

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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.