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Finding the Fourth Proportional to 21,485.68, 32,222.26 and 7,445.14

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Solution

The fourth proportional to 21,485.68, 32,222.26 and 7,445.14 is: 11,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,485.68 : 32,222.26 = 7,445.14 : x
  2. Step 2: Convert to fraction form
    21,485.68/32,222.26 = 7,445.14/x
  3. Step 3: Cross multiply
    21,485.68x = 32,222.26 × 7,445.14
  4. Step 4: Simplify right side
    21,485.68x = 239,899,236.82
  5. Step 5: Solve for x
    x = 239,899,236.82/21,485.68
  6. Step 6: Final answer
    x = 11,165.54

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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.