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Finding the Fourth Proportional to 21,181.11, 31,746 and 11,811.16

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Solution

The fourth proportional to 21,181.11, 31,746 and 11,811.16 is: 17,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.11 : 31,746 = 11,811.16 : x
  2. Step 2: Convert to fraction form
    21,181.11/31,746 = 11,811.16/x
  3. Step 3: Cross multiply
    21,181.11x = 31,746 × 11,811.16
  4. Step 4: Simplify right side
    21,181.11x = 374,957,085.36
  5. Step 5: Solve for x
    x = 374,957,085.36/21,181.11
  6. Step 6: Final answer
    x = 17,702.43

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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.