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Finding the Fourth Proportional to 21,186.64, 29,238.06 and 11,755

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Solution

The fourth proportional to 21,186.64, 29,238.06 and 11,755 is: 16,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186.64 : 29,238.06 = 11,755 : x
  2. Step 2: Convert to fraction form
    21,186.64/29,238.06 = 11,755/x
  3. Step 3: Cross multiply
    21,186.64x = 29,238.06 × 11,755
  4. Step 4: Simplify right side
    21,186.64x = 343,693,395.30
  5. Step 5: Solve for x
    x = 343,693,395.30/21,186.64
  6. Step 6: Final answer
    x = 16,222.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.