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Finding the Fourth Proportional to 21,905.13, 32,837.98 and 7,861.86

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Solution

The fourth proportional to 21,905.13, 32,837.98 and 7,861.86 is: 11,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.13 : 32,837.98 = 7,861.86 : x
  2. Step 2: Convert to fraction form
    21,905.13/32,837.98 = 7,861.86/x
  3. Step 3: Cross multiply
    21,905.13x = 32,837.98 × 7,861.86
  4. Step 4: Simplify right side
    21,905.13x = 258,167,437.25
  5. Step 5: Solve for x
    x = 258,167,437.25/21,905.13
  6. Step 6: Final answer
    x = 11,785.71

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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.