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Finding the Fourth Proportional to 21,114.34, 29,137.74 and 11,682.88

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Solution

The fourth proportional to 21,114.34, 29,137.74 and 11,682.88 is: 16,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.34 : 29,137.74 = 11,682.88 : x
  2. Step 2: Convert to fraction form
    21,114.34/29,137.74 = 11,682.88/x
  3. Step 3: Cross multiply
    21,114.34x = 29,137.74 × 11,682.88
  4. Step 4: Simplify right side
    21,114.34x = 340,412,719.89
  5. Step 5: Solve for x
    x = 340,412,719.89/21,114.34
  6. Step 6: Final answer
    x = 16,122.35

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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.