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Finding the Fourth Proportional to 21,769.24, 32,657.64 and 7,915

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Solution

The fourth proportional to 21,769.24, 32,657.64 and 7,915 is: 11,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,769.24 : 32,657.64 = 7,915 : x
  2. Step 2: Convert to fraction form
    21,769.24/32,657.64 = 7,915/x
  3. Step 3: Cross multiply
    21,769.24x = 32,657.64 × 7,915
  4. Step 4: Simplify right side
    21,769.24x = 258,485,220.60
  5. Step 5: Solve for x
    x = 258,485,220.60/21,769.24
  6. Step 6: Final answer
    x = 11,873.87

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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.