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Finding the Fourth Proportional to 21,408.50, 29,543.73 and 11,977.06

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Solution

The fourth proportional to 21,408.50, 29,543.73 and 11,977.06 is: 16,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.50 : 29,543.73 = 11,977.06 : x
  2. Step 2: Convert to fraction form
    21,408.50/29,543.73 = 11,977.06/x
  3. Step 3: Cross multiply
    21,408.50x = 29,543.73 × 11,977.06
  4. Step 4: Simplify right side
    21,408.50x = 353,847,026.83
  5. Step 5: Solve for x
    x = 353,847,026.83/21,408.50
  6. Step 6: Final answer
    x = 16,528.34

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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.