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Finding the Fourth Proportional to 21,852.25, 32,778.47 and 8,001.25

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Solution

The fourth proportional to 21,852.25, 32,778.47 and 8,001.25 is: 12,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.25 : 32,778.47 = 8,001.25 : x
  2. Step 2: Convert to fraction form
    21,852.25/32,778.47 = 8,001.25/x
  3. Step 3: Cross multiply
    21,852.25x = 32,778.47 × 8,001.25
  4. Step 4: Simplify right side
    21,852.25x = 262,268,733.09
  5. Step 5: Solve for x
    x = 262,268,733.09/21,852.25
  6. Step 6: Final answer
    x = 12,001.91

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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.