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Finding the Fourth Proportional to 21,667.75, 32,501.63 and 5,251.75

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Solution

The fourth proportional to 21,667.75, 32,501.63 and 5,251.75 is: 7,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667.75 : 32,501.63 = 5,251.75 : x
  2. Step 2: Convert to fraction form
    21,667.75/32,501.63 = 5,251.75/x
  3. Step 3: Cross multiply
    21,667.75x = 32,501.63 × 5,251.75
  4. Step 4: Simplify right side
    21,667.75x = 170,690,409.09
  5. Step 5: Solve for x
    x = 170,690,409.09/21,667.75
  6. Step 6: Final answer
    x = 7,877.63

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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.