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Finding the Fourth Proportional to 21,172.51, 31,759.04 and 8,021.35

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Solution

The fourth proportional to 21,172.51, 31,759.04 and 8,021.35 is: 12,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,172.51 : 31,759.04 = 8,021.35 : x
  2. Step 2: Convert to fraction form
    21,172.51/31,759.04 = 8,021.35/x
  3. Step 3: Cross multiply
    21,172.51x = 31,759.04 × 8,021.35
  4. Step 4: Simplify right side
    21,172.51x = 254,750,335.40
  5. Step 5: Solve for x
    x = 254,750,335.40/21,172.51
  6. Step 6: Final answer
    x = 12,032.13

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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.