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Finding the Fourth Proportional to 17,667.46, 24,386.77 and 11,311.17

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Solution

The fourth proportional to 17,667.46, 24,386.77 and 11,311.17 is: 15,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.46 : 24,386.77 = 11,311.17 : x
  2. Step 2: Convert to fraction form
    17,667.46/24,386.77 = 11,311.17/x
  3. Step 3: Cross multiply
    17,667.46x = 24,386.77 × 11,311.17
  4. Step 4: Simplify right side
    17,667.46x = 275,842,841.06
  5. Step 5: Solve for x
    x = 275,842,841.06/17,667.46
  6. Step 6: Final answer
    x = 15,613.05

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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.