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Finding the Fourth Proportional to 21,002.51, 31,504.37 and 7,852.37

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Solution

The fourth proportional to 21,002.51, 31,504.37 and 7,852.37 is: 11,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.51 : 31,504.37 = 7,852.37 : x
  2. Step 2: Convert to fraction form
    21,002.51/31,504.37 = 7,852.37/x
  3. Step 3: Cross multiply
    21,002.51x = 31,504.37 × 7,852.37
  4. Step 4: Simplify right side
    21,002.51x = 247,383,773.07
  5. Step 5: Solve for x
    x = 247,383,773.07/21,002.51
  6. Step 6: Final answer
    x = 11,778.77

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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.