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Finding the Fourth Proportional to 14,284.83, 21,414.92 and 6,894.48

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Solution

The fourth proportional to 14,284.83, 21,414.92 and 6,894.48 is: 10,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.83 : 21,414.92 = 6,894.48 : x
  2. Step 2: Convert to fraction form
    14,284.83/21,414.92 = 6,894.48/x
  3. Step 3: Cross multiply
    14,284.83x = 21,414.92 × 6,894.48
  4. Step 4: Simplify right side
    14,284.83x = 147,644,737.64
  5. Step 5: Solve for x
    x = 147,644,737.64/14,284.83
  6. Step 6: Final answer
    x = 10,335.77

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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.