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Finding the Fourth Proportional to 21,536.46, 29,723.02 and 12,105

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Solution

The fourth proportional to 21,536.46, 29,723.02 and 12,105 is: 16,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.46 : 29,723.02 = 12,105 : x
  2. Step 2: Convert to fraction form
    21,536.46/29,723.02 = 12,105/x
  3. Step 3: Cross multiply
    21,536.46x = 29,723.02 × 12,105
  4. Step 4: Simplify right side
    21,536.46x = 359,797,126.84
  5. Step 5: Solve for x
    x = 359,797,126.84/21,536.46
  6. Step 6: Final answer
    x = 16,706.42

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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.