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Finding the Fourth Proportional to 14,806.98, 20,434.85 and 8,435.57

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Solution

The fourth proportional to 14,806.98, 20,434.85 and 8,435.57 is: 11,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.98 : 20,434.85 = 8,435.57 : x
  2. Step 2: Convert to fraction form
    14,806.98/20,434.85 = 8,435.57/x
  3. Step 3: Cross multiply
    14,806.98x = 20,434.85 × 8,435.57
  4. Step 4: Simplify right side
    14,806.98x = 172,379,552.37
  5. Step 5: Solve for x
    x = 172,379,552.37/14,806.98
  6. Step 6: Final answer
    x = 11,641.78

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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.