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Finding the Fourth Proportional to 21,667.34, 32,502.99 and 6,084.86

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Solution

The fourth proportional to 21,667.34, 32,502.99 and 6,084.86 is: 9,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667.34 : 32,502.99 = 6,084.86 : x
  2. Step 2: Convert to fraction form
    21,667.34/32,502.99 = 6,084.86/x
  3. Step 3: Cross multiply
    21,667.34x = 32,502.99 × 6,084.86
  4. Step 4: Simplify right side
    21,667.34x = 197,776,143.73
  5. Step 5: Solve for x
    x = 197,776,143.73/21,667.34
  6. Step 6: Final answer
    x = 9,127.85

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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.