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Finding the Fourth Proportional to 21,146.88, 29,182.08 and 12,195.84

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Solution

The fourth proportional to 21,146.88, 29,182.08 and 12,195.84 is: 16,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.88 : 29,182.08 = 12,195.84 : x
  2. Step 2: Convert to fraction form
    21,146.88/29,182.08 = 12,195.84/x
  3. Step 3: Cross multiply
    21,146.88x = 29,182.08 × 12,195.84
  4. Step 4: Simplify right side
    21,146.88x = 355,899,978.55
  5. Step 5: Solve for x
    x = 355,899,978.55/21,146.88
  6. Step 6: Final answer
    x = 16,829.90

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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.