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Finding the Fourth Proportional to 21,667.34, 32,502.23 and 6,083.75

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Solution

The fourth proportional to 21,667.34, 32,502.23 and 6,083.75 is: 9,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667.34 : 32,502.23 = 6,083.75 : x
  2. Step 2: Convert to fraction form
    21,667.34/32,502.23 = 6,083.75/x
  3. Step 3: Cross multiply
    21,667.34x = 32,502.23 × 6,083.75
  4. Step 4: Simplify right side
    21,667.34x = 197,735,441.76
  5. Step 5: Solve for x
    x = 197,735,441.76/21,667.34
  6. Step 6: Final answer
    x = 9,125.97

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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.