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Finding the Fourth Proportional to 21,156.70, 29,199.32 and 12,202.42

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Solution

The fourth proportional to 21,156.70, 29,199.32 and 12,202.42 is: 16,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,156.70 : 29,199.32 = 12,202.42 : x
  2. Step 2: Convert to fraction form
    21,156.70/29,199.32 = 12,202.42/x
  3. Step 3: Cross multiply
    21,156.70x = 29,199.32 × 12,202.42
  4. Step 4: Simplify right side
    21,156.70x = 356,302,366.35
  5. Step 5: Solve for x
    x = 356,302,366.35/21,156.70
  6. Step 6: Final answer
    x = 16,841.11

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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.