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Finding the Fourth Proportional to 21,146.27, 29,178.90 and 11,715.44

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Solution

The fourth proportional to 21,146.27, 29,178.90 and 11,715.44 is: 16,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.27 : 29,178.90 = 11,715.44 : x
  2. Step 2: Convert to fraction form
    21,146.27/29,178.90 = 11,715.44/x
  3. Step 3: Cross multiply
    21,146.27x = 29,178.90 × 11,715.44
  4. Step 4: Simplify right side
    21,146.27x = 341,843,506.32
  5. Step 5: Solve for x
    x = 341,843,506.32/21,146.27
  6. Step 6: Final answer
    x = 16,165.67

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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.