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Finding the Fourth Proportional to 22,698.34, 33,998.28 and 10,987

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Solution

The fourth proportional to 22,698.34, 33,998.28 and 10,987 is: 16,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,698.34 : 33,998.28 = 10,987 : x
  2. Step 2: Convert to fraction form
    22,698.34/33,998.28 = 10,987/x
  3. Step 3: Cross multiply
    22,698.34x = 33,998.28 × 10,987
  4. Step 4: Simplify right side
    22,698.34x = 373,539,102.36
  5. Step 5: Solve for x
    x = 373,539,102.36/22,698.34
  6. Step 6: Final answer
    x = 16,456.67

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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.