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Finding the Fourth Proportional to 21,102.44, 29,122.28 and 11,671

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Solution

The fourth proportional to 21,102.44, 29,122.28 and 11,671 is: 16,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.44 : 29,122.28 = 11,671 : x
  2. Step 2: Convert to fraction form
    21,102.44/29,122.28 = 11,671/x
  3. Step 3: Cross multiply
    21,102.44x = 29,122.28 × 11,671
  4. Step 4: Simplify right side
    21,102.44x = 339,886,129.88
  5. Step 5: Solve for x
    x = 339,886,129.88/21,102.44
  6. Step 6: Final answer
    x = 16,106.48

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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.