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Finding the Fourth Proportional to 21,146.05, 29,184.65 and 12,191.80

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Solution

The fourth proportional to 21,146.05, 29,184.65 and 12,191.80 is: 16,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.05 : 29,184.65 = 12,191.80 : x
  2. Step 2: Convert to fraction form
    21,146.05/29,184.65 = 12,191.80/x
  3. Step 3: Cross multiply
    21,146.05x = 29,184.65 × 12,191.80
  4. Step 4: Simplify right side
    21,146.05x = 355,813,373.39
  5. Step 5: Solve for x
    x = 355,813,373.39/21,146.05
  6. Step 6: Final answer
    x = 16,826.47

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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.