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Finding the Fourth Proportional to 19,283.34, 28,919.25 and 6,801

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Solution

The fourth proportional to 19,283.34, 28,919.25 and 6,801 is: 10,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,283.34 : 28,919.25 = 6,801 : x
  2. Step 2: Convert to fraction form
    19,283.34/28,919.25 = 6,801/x
  3. Step 3: Cross multiply
    19,283.34x = 28,919.25 × 6,801
  4. Step 4: Simplify right side
    19,283.34x = 196,679,819.25
  5. Step 5: Solve for x
    x = 196,679,819.25/19,283.34
  6. Step 6: Final answer
    x = 10,199.47

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