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Finding the Fourth Proportional to 14,015.50, 21,028.85 and 5,696.17

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Solution

The fourth proportional to 14,015.50, 21,028.85 and 5,696.17 is: 8,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.50 : 21,028.85 = 5,696.17 : x
  2. Step 2: Convert to fraction form
    14,015.50/21,028.85 = 5,696.17/x
  3. Step 3: Cross multiply
    14,015.50x = 21,028.85 × 5,696.17
  4. Step 4: Simplify right side
    14,015.50x = 119,783,799.36
  5. Step 5: Solve for x
    x = 119,783,799.36/14,015.50
  6. Step 6: Final answer
    x = 8,546.52

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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.