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Finding the Fourth Proportional to 13,845.46, 20,746.92 and 9,397.34

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Solution

The fourth proportional to 13,845.46, 20,746.92 and 9,397.34 is: 14,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,845.46 : 20,746.92 = 9,397.34 : x
  2. Step 2: Convert to fraction form
    13,845.46/20,746.92 = 9,397.34/x
  3. Step 3: Cross multiply
    13,845.46x = 20,746.92 × 9,397.34
  4. Step 4: Simplify right side
    13,845.46x = 194,965,861.19
  5. Step 5: Solve for x
    x = 194,965,861.19/13,845.46
  6. Step 6: Final answer
    x = 14,081.57

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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.