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Finding the Fourth Proportional to 14,474.49, 21,696.84 and 6,582.48

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Solution

The fourth proportional to 14,474.49, 21,696.84 and 6,582.48 is: 9,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.49 : 21,696.84 = 6,582.48 : x
  2. Step 2: Convert to fraction form
    14,474.49/21,696.84 = 6,582.48/x
  3. Step 3: Cross multiply
    14,474.49x = 21,696.84 × 6,582.48
  4. Step 4: Simplify right side
    14,474.49x = 142,819,015.36
  5. Step 5: Solve for x
    x = 142,819,015.36/14,474.49
  6. Step 6: Final answer
    x = 9,866.95

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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.