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Finding the Fourth Proportional to 21,456.54, 32,162.94 and 19,564.80

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Solution

The fourth proportional to 21,456.54, 32,162.94 and 19,564.80 is: 29,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.54 : 32,162.94 = 19,564.80 : x
  2. Step 2: Convert to fraction form
    21,456.54/32,162.94 = 19,564.80/x
  3. Step 3: Cross multiply
    21,456.54x = 32,162.94 × 19,564.80
  4. Step 4: Simplify right side
    21,456.54x = 629,261,488.51
  5. Step 5: Solve for x
    x = 629,261,488.51/21,456.54
  6. Step 6: Final answer
    x = 29,327.26

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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.