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Finding the Fourth Proportional to 21,770.24, 32,659.14 and 7,916

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Solution

The fourth proportional to 21,770.24, 32,659.14 and 7,916 is: 11,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.24 : 32,659.14 = 7,916 : x
  2. Step 2: Convert to fraction form
    21,770.24/32,659.14 = 7,916/x
  3. Step 3: Cross multiply
    21,770.24x = 32,659.14 × 7,916
  4. Step 4: Simplify right side
    21,770.24x = 258,529,752.24
  5. Step 5: Solve for x
    x = 258,529,752.24/21,770.24
  6. Step 6: Final answer
    x = 11,875.37

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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.