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Finding the Fourth Proportional to 14,384.50, 21,475.85 and 12,170.76

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Solution

The fourth proportional to 14,384.50, 21,475.85 and 12,170.76 is: 18,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.50 : 21,475.85 = 12,170.76 : x
  2. Step 2: Convert to fraction form
    14,384.50/21,475.85 = 12,170.76/x
  3. Step 3: Cross multiply
    14,384.50x = 21,475.85 × 12,170.76
  4. Step 4: Simplify right side
    14,384.50x = 261,377,416.15
  5. Step 5: Solve for x
    x = 261,377,416.15/14,384.50
  6. Step 6: Final answer
    x = 18,170.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.