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Finding the Fourth Proportional to 16,309.43, 22,507.31 and 9,237.32

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Solution

The fourth proportional to 16,309.43, 22,507.31 and 9,237.32 is: 12,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.43 : 22,507.31 = 9,237.32 : x
  2. Step 2: Convert to fraction form
    16,309.43/22,507.31 = 9,237.32/x
  3. Step 3: Cross multiply
    16,309.43x = 22,507.31 × 9,237.32
  4. Step 4: Simplify right side
    16,309.43x = 207,907,224.81
  5. Step 5: Solve for x
    x = 207,907,224.81/16,309.43
  6. Step 6: Final answer
    x = 12,747.67

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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.