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Finding the Fourth Proportional to 22,459.69, 33,688.32 and 6,877.36

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Solution

The fourth proportional to 22,459.69, 33,688.32 and 6,877.36 is: 10,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.69 : 33,688.32 = 6,877.36 : x
  2. Step 2: Convert to fraction form
    22,459.69/33,688.32 = 6,877.36/x
  3. Step 3: Cross multiply
    22,459.69x = 33,688.32 × 6,877.36
  4. Step 4: Simplify right side
    22,459.69x = 231,686,704.44
  5. Step 5: Solve for x
    x = 231,686,704.44/22,459.69
  6. Step 6: Final answer
    x = 10,315.67

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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.