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Finding the Fourth Proportional to 12,937.32, 17,857.80 and 8,463.96

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Solution

The fourth proportional to 12,937.32, 17,857.80 and 8,463.96 is: 11,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.32 : 17,857.80 = 8,463.96 : x
  2. Step 2: Convert to fraction form
    12,937.32/17,857.80 = 8,463.96/x
  3. Step 3: Cross multiply
    12,937.32x = 17,857.80 × 8,463.96
  4. Step 4: Simplify right side
    12,937.32x = 151,147,704.89
  5. Step 5: Solve for x
    x = 151,147,704.89/12,937.32
  6. Step 6: Final answer
    x = 11,683.08

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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.