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Finding the Fourth Proportional to 14,193.50, 19,586.22 and 7,818.85

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Solution

The fourth proportional to 14,193.50, 19,586.22 and 7,818.85 is: 10,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.50 : 19,586.22 = 7,818.85 : x
  2. Step 2: Convert to fraction form
    14,193.50/19,586.22 = 7,818.85/x
  3. Step 3: Cross multiply
    14,193.50x = 19,586.22 × 7,818.85
  4. Step 4: Simplify right side
    14,193.50x = 153,141,645.22
  5. Step 5: Solve for x
    x = 153,141,645.22/14,193.50
  6. Step 6: Final answer
    x = 10,789.57

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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.