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Finding the Fourth Proportional to 17,107.67, 25,667.88 and 10,457.81

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Solution

The fourth proportional to 17,107.67, 25,667.88 and 10,457.81 is: 15,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107.67 : 25,667.88 = 10,457.81 : x
  2. Step 2: Convert to fraction form
    17,107.67/25,667.88 = 10,457.81/x
  3. Step 3: Cross multiply
    17,107.67x = 25,667.88 × 10,457.81
  4. Step 4: Simplify right side
    17,107.67x = 268,429,812.14
  5. Step 5: Solve for x
    x = 268,429,812.14/17,107.67
  6. Step 6: Final answer
    x = 15,690.61

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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.