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Finding the Fourth Proportional to 12,933.64, 17,855.70 and 8,461.96

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Solution

The fourth proportional to 12,933.64, 17,855.70 and 8,461.96 is: 11,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933.64 : 17,855.70 = 8,461.96 : x
  2. Step 2: Convert to fraction form
    12,933.64/17,855.70 = 8,461.96/x
  3. Step 3: Cross multiply
    12,933.64x = 17,855.70 × 8,461.96
  4. Step 4: Simplify right side
    12,933.64x = 151,094,219.17
  5. Step 5: Solve for x
    x = 151,094,219.17/12,933.64
  6. Step 6: Final answer
    x = 11,682.27

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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.