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Finding the Fourth Proportional to 21,822.84, 32,736.37 and 8,672.26

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Solution

The fourth proportional to 21,822.84, 32,736.37 and 8,672.26 is: 13,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.84 : 32,736.37 = 8,672.26 : x
  2. Step 2: Convert to fraction form
    21,822.84/32,736.37 = 8,672.26/x
  3. Step 3: Cross multiply
    21,822.84x = 32,736.37 × 8,672.26
  4. Step 4: Simplify right side
    21,822.84x = 283,898,312.10
  5. Step 5: Solve for x
    x = 283,898,312.10/21,822.84
  6. Step 6: Final answer
    x = 13,009.23

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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.