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Finding the Fourth Proportional to 21,638.49, 32,456.52 and 7,599.17

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Solution

The fourth proportional to 21,638.49, 32,456.52 and 7,599.17 is: 11,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.49 : 32,456.52 = 7,599.17 : x
  2. Step 2: Convert to fraction form
    21,638.49/32,456.52 = 7,599.17/x
  3. Step 3: Cross multiply
    21,638.49x = 32,456.52 × 7,599.17
  4. Step 4: Simplify right side
    21,638.49x = 246,642,450.81
  5. Step 5: Solve for x
    x = 246,642,450.81/21,638.49
  6. Step 6: Final answer
    x = 11,398.32

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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.