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Finding the Fourth Proportional to 21,113.45, 29,134 and 12,163.85

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Solution

The fourth proportional to 21,113.45, 29,134 and 12,163.85 is: 16,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113.45 : 29,134 = 12,163.85 : x
  2. Step 2: Convert to fraction form
    21,113.45/29,134 = 12,163.85/x
  3. Step 3: Cross multiply
    21,113.45x = 29,134 × 12,163.85
  4. Step 4: Simplify right side
    21,113.45x = 354,381,605.90
  5. Step 5: Solve for x
    x = 354,381,605.90/21,113.45
  6. Step 6: Final answer
    x = 16,784.64

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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.