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Finding the Fourth Proportional to 21,536.58, 29,720.82 and 12,105.14

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Solution

The fourth proportional to 21,536.58, 29,720.82 and 12,105.14 is: 16,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.58 : 29,720.82 = 12,105.14 : x
  2. Step 2: Convert to fraction form
    21,536.58/29,720.82 = 12,105.14/x
  3. Step 3: Cross multiply
    21,536.58x = 29,720.82 × 12,105.14
  4. Step 4: Simplify right side
    21,536.58x = 359,774,687.01
  5. Step 5: Solve for x
    x = 359,774,687.01/21,536.58
  6. Step 6: Final answer
    x = 16,705.28

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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.