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Finding the Fourth Proportional to 21,201.38, 31,802.06 and 12,431.51

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Solution

The fourth proportional to 21,201.38, 31,802.06 and 12,431.51 is: 18,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.38 : 31,802.06 = 12,431.51 : x
  2. Step 2: Convert to fraction form
    21,201.38/31,802.06 = 12,431.51/x
  3. Step 3: Cross multiply
    21,201.38x = 31,802.06 × 12,431.51
  4. Step 4: Simplify right side
    21,201.38x = 395,347,626.91
  5. Step 5: Solve for x
    x = 395,347,626.91/21,201.38
  6. Step 6: Final answer
    x = 18,647.26

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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.