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Finding the Fourth Proportional to 16,256.64, 22,434.19 and 9,183.08

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Solution

The fourth proportional to 16,256.64, 22,434.19 and 9,183.08 is: 12,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.64 : 22,434.19 = 9,183.08 : x
  2. Step 2: Convert to fraction form
    16,256.64/22,434.19 = 9,183.08/x
  3. Step 3: Cross multiply
    16,256.64x = 22,434.19 × 9,183.08
  4. Step 4: Simplify right side
    16,256.64x = 206,014,994.63
  5. Step 5: Solve for x
    x = 206,014,994.63/16,256.64
  6. Step 6: Final answer
    x = 12,672.67

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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.