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Finding the Fourth Proportional to 21,142.70, 29,170.35 and 12,189.06

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Solution

The fourth proportional to 21,142.70, 29,170.35 and 12,189.06 is: 16,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.70 : 29,170.35 = 12,189.06 : x
  2. Step 2: Convert to fraction form
    21,142.70/29,170.35 = 12,189.06/x
  3. Step 3: Cross multiply
    21,142.70x = 29,170.35 × 12,189.06
  4. Step 4: Simplify right side
    21,142.70x = 355,559,146.37
  5. Step 5: Solve for x
    x = 355,559,146.37/21,142.70
  6. Step 6: Final answer
    x = 16,817.11

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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.