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Finding the Fourth Proportional to 20,667.42, 31,001.72 and 5,085

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Solution

The fourth proportional to 20,667.42, 31,001.72 and 5,085 is: 7,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,667.42 : 31,001.72 = 5,085 : x
  2. Step 2: Convert to fraction form
    20,667.42/31,001.72 = 5,085/x
  3. Step 3: Cross multiply
    20,667.42x = 31,001.72 × 5,085
  4. Step 4: Simplify right side
    20,667.42x = 157,643,720.78
  5. Step 5: Solve for x
    x = 157,643,720.78/20,667.42
  6. Step 6: Final answer
    x = 7,627.64

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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.