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Finding the Fourth Proportional to 21,161, 31,738.91 and 12,281.16

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Solution

The fourth proportional to 21,161, 31,738.91 and 12,281.16 is: 18,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161 : 31,738.91 = 12,281.16 : x
  2. Step 2: Convert to fraction form
    21,161/31,738.91 = 12,281.16/x
  3. Step 3: Cross multiply
    21,161x = 31,738.91 × 12,281.16
  4. Step 4: Simplify right side
    21,161x = 389,790,631.94
  5. Step 5: Solve for x
    x = 389,790,631.94/21,161
  6. Step 6: Final answer
    x = 18,420.24

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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.