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Finding the Fourth Proportional to 12,157.64, 16,767.86 and 9,173.96

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Solution

The fourth proportional to 12,157.64, 16,767.86 and 9,173.96 is: 12,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.64 : 16,767.86 = 9,173.96 : x
  2. Step 2: Convert to fraction form
    12,157.64/16,767.86 = 9,173.96/x
  3. Step 3: Cross multiply
    12,157.64x = 16,767.86 × 9,173.96
  4. Step 4: Simplify right side
    12,157.64x = 153,827,676.93
  5. Step 5: Solve for x
    x = 153,827,676.93/12,157.64
  6. Step 6: Final answer
    x = 12,652.76

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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.