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Finding the Fourth Proportional to 21,399, 31,941.75 and 18,873.96

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Solution

The fourth proportional to 21,399, 31,941.75 and 18,873.96 is: 28,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,399 : 31,941.75 = 18,873.96 : x
  2. Step 2: Convert to fraction form
    21,399/31,941.75 = 18,873.96/x
  3. Step 3: Cross multiply
    21,399x = 31,941.75 × 18,873.96
  4. Step 4: Simplify right side
    21,399x = 602,867,311.83
  5. Step 5: Solve for x
    x = 602,867,311.83/21,399
  6. Step 6: Final answer
    x = 28,172.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.