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Finding the Fourth Proportional to 22,509.24, 33,764.40 and 6,927

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Solution

The fourth proportional to 22,509.24, 33,764.40 and 6,927 is: 10,390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.24 : 33,764.40 = 6,927 : x
  2. Step 2: Convert to fraction form
    22,509.24/33,764.40 = 6,927/x
  3. Step 3: Cross multiply
    22,509.24x = 33,764.40 × 6,927
  4. Step 4: Simplify right side
    22,509.24x = 233,885,998.80
  5. Step 5: Solve for x
    x = 233,885,998.80/22,509.24
  6. Step 6: Final answer
    x = 10,390.67

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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.