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Finding the Fourth Proportional to 14,691.75, 22,038.78 and 4,161.60

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Solution

The fourth proportional to 14,691.75, 22,038.78 and 4,161.60 is: 6,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.75 : 22,038.78 = 4,161.60 : x
  2. Step 2: Convert to fraction form
    14,691.75/22,038.78 = 4,161.60/x
  3. Step 3: Cross multiply
    14,691.75x = 22,038.78 × 4,161.60
  4. Step 4: Simplify right side
    14,691.75x = 91,716,586.85
  5. Step 5: Solve for x
    x = 91,716,586.85/14,691.75
  6. Step 6: Final answer
    x = 6,242.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.