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Finding the Fourth Proportional to 12,021.64, 16,611.06 and 9,251.08

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Solution

The fourth proportional to 12,021.64, 16,611.06 and 9,251.08 is: 12,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.64 : 16,611.06 = 9,251.08 : x
  2. Step 2: Convert to fraction form
    12,021.64/16,611.06 = 9,251.08/x
  3. Step 3: Cross multiply
    12,021.64x = 16,611.06 × 9,251.08
  4. Step 4: Simplify right side
    12,021.64x = 153,670,244.94
  5. Step 5: Solve for x
    x = 153,670,244.94/12,021.64
  6. Step 6: Final answer
    x = 12,782.80

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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.