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Finding the Fourth Proportional to 21,765.24, 32,653.80 and 6,183

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Solution

The fourth proportional to 21,765.24, 32,653.80 and 6,183 is: 9,276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765.24 : 32,653.80 = 6,183 : x
  2. Step 2: Convert to fraction form
    21,765.24/32,653.80 = 6,183/x
  3. Step 3: Cross multiply
    21,765.24x = 32,653.80 × 6,183
  4. Step 4: Simplify right side
    21,765.24x = 201,898,445.40
  5. Step 5: Solve for x
    x = 201,898,445.40/21,765.24
  6. Step 6: Final answer
    x = 9,276.19

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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.