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Finding the Fourth Proportional to 16,433.32, 22,672.56 and 9,262.12

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Solution

The fourth proportional to 16,433.32, 22,672.56 and 9,262.12 is: 12,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.32 : 22,672.56 = 9,262.12 : x
  2. Step 2: Convert to fraction form
    16,433.32/22,672.56 = 9,262.12/x
  3. Step 3: Cross multiply
    16,433.32x = 22,672.56 × 9,262.12
  4. Step 4: Simplify right side
    16,433.32x = 209,995,971.43
  5. Step 5: Solve for x
    x = 209,995,971.43/16,433.32
  6. Step 6: Final answer
    x = 12,778.67

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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.