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Finding the Fourth Proportional to 14,736.91, 20,338.35 and 9,074.97

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Solution

The fourth proportional to 14,736.91, 20,338.35 and 9,074.97 is: 12,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,736.91 : 20,338.35 = 9,074.97 : x
  2. Step 2: Convert to fraction form
    14,736.91/20,338.35 = 9,074.97/x
  3. Step 3: Cross multiply
    14,736.91x = 20,338.35 × 9,074.97
  4. Step 4: Simplify right side
    14,736.91x = 184,569,916.10
  5. Step 5: Solve for x
    x = 184,569,916.10/14,736.91
  6. Step 6: Final answer
    x = 12,524.33

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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.