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Finding the Fourth Proportional to 21,149.10, 29,186.94 and 12,077.14

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Solution

The fourth proportional to 21,149.10, 29,186.94 and 12,077.14 is: 16,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.10 : 29,186.94 = 12,077.14 : x
  2. Step 2: Convert to fraction form
    21,149.10/29,186.94 = 12,077.14/x
  3. Step 3: Cross multiply
    21,149.10x = 29,186.94 × 12,077.14
  4. Step 4: Simplify right side
    21,149.10x = 352,494,760.55
  5. Step 5: Solve for x
    x = 352,494,760.55/21,149.10
  6. Step 6: Final answer
    x = 16,667.13

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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.