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Finding the Fourth Proportional to 16,049.22, 22,145.76 and 8,975.94

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Solution

The fourth proportional to 16,049.22, 22,145.76 and 8,975.94 is: 12,385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.22 : 22,145.76 = 8,975.94 : x
  2. Step 2: Convert to fraction form
    16,049.22/22,145.76 = 8,975.94/x
  3. Step 3: Cross multiply
    16,049.22x = 22,145.76 × 8,975.94
  4. Step 4: Simplify right side
    16,049.22x = 198,779,013.01
  5. Step 5: Solve for x
    x = 198,779,013.01/16,049.22
  6. Step 6: Final answer
    x = 12,385.59

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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.