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Finding the Fourth Proportional to 15,706.58, 21,674.93 and 8,993.39

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Solution

The fourth proportional to 15,706.58, 21,674.93 and 8,993.39 is: 12,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.58 : 21,674.93 = 8,993.39 : x
  2. Step 2: Convert to fraction form
    15,706.58/21,674.93 = 8,993.39/x
  3. Step 3: Cross multiply
    15,706.58x = 21,674.93 × 8,993.39
  4. Step 4: Simplify right side
    15,706.58x = 194,930,945.37
  5. Step 5: Solve for x
    x = 194,930,945.37/15,706.58
  6. Step 6: Final answer
    x = 12,410.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.