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Finding the Fourth Proportional to 16,085.88, 22,199.76 and 9,012.96

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Solution

The fourth proportional to 16,085.88, 22,199.76 and 9,012.96 is: 12,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.88 : 22,199.76 = 9,012.96 : x
  2. Step 2: Convert to fraction form
    16,085.88/22,199.76 = 9,012.96/x
  3. Step 3: Cross multiply
    16,085.88x = 22,199.76 × 9,012.96
  4. Step 4: Simplify right side
    16,085.88x = 200,085,548.89
  5. Step 5: Solve for x
    x = 200,085,548.89/16,085.88
  6. Step 6: Final answer
    x = 12,438.58

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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.