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Finding the Fourth Proportional to 14,861.21, 20,510.55 and 9,197.76

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Solution

The fourth proportional to 14,861.21, 20,510.55 and 9,197.76 is: 12,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.21 : 20,510.55 = 9,197.76 : x
  2. Step 2: Convert to fraction form
    14,861.21/20,510.55 = 9,197.76/x
  3. Step 3: Cross multiply
    14,861.21x = 20,510.55 × 9,197.76
  4. Step 4: Simplify right side
    14,861.21x = 188,651,193.28
  5. Step 5: Solve for x
    x = 188,651,193.28/14,861.21
  6. Step 6: Final answer
    x = 12,694.21

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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.