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Finding the Fourth Proportional to 21,323.75, 31,985.63 and 5,741.38

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Solution

The fourth proportional to 21,323.75, 31,985.63 and 5,741.38 is: 8,612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323.75 : 31,985.63 = 5,741.38 : x
  2. Step 2: Convert to fraction form
    21,323.75/31,985.63 = 5,741.38/x
  3. Step 3: Cross multiply
    21,323.75x = 31,985.63 × 5,741.38
  4. Step 4: Simplify right side
    21,323.75x = 183,641,467.73
  5. Step 5: Solve for x
    x = 183,641,467.73/21,323.75
  6. Step 6: Final answer
    x = 8,612.06

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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.