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Finding the Fourth Proportional to 21,820.64, 32,728.52 and 6,238.26

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Solution

The fourth proportional to 21,820.64, 32,728.52 and 6,238.26 is: 9,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820.64 : 32,728.52 = 6,238.26 : x
  2. Step 2: Convert to fraction form
    21,820.64/32,728.52 = 6,238.26/x
  3. Step 3: Cross multiply
    21,820.64x = 32,728.52 × 6,238.26
  4. Step 4: Simplify right side
    21,820.64x = 204,169,032.77
  5. Step 5: Solve for x
    x = 204,169,032.77/21,820.64
  6. Step 6: Final answer
    x = 9,356.70

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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.