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Finding the Fourth Proportional to 16,427.34, 22,669.83 and 9,353.34

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Solution

The fourth proportional to 16,427.34, 22,669.83 and 9,353.34 is: 12,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.34 : 22,669.83 = 9,353.34 : x
  2. Step 2: Convert to fraction form
    16,427.34/22,669.83 = 9,353.34/x
  3. Step 3: Cross multiply
    16,427.34x = 22,669.83 × 9,353.34
  4. Step 4: Simplify right side
    16,427.34x = 212,038,627.73
  5. Step 5: Solve for x
    x = 212,038,627.73/16,427.34
  6. Step 6: Final answer
    x = 12,907.67

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