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Finding the Fourth Proportional to 14,091.96, 19,446.94 and 7,631.68

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Solution

The fourth proportional to 14,091.96, 19,446.94 and 7,631.68 is: 10,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.96 : 19,446.94 = 7,631.68 : x
  2. Step 2: Convert to fraction form
    14,091.96/19,446.94 = 7,631.68/x
  3. Step 3: Cross multiply
    14,091.96x = 19,446.94 × 7,631.68
  4. Step 4: Simplify right side
    14,091.96x = 148,412,823.06
  5. Step 5: Solve for x
    x = 148,412,823.06/14,091.96
  6. Step 6: Final answer
    x = 10,531.74

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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.