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Finding the Fourth Proportional to 14,466.96, 21,665.70 and 12,375

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Solution

The fourth proportional to 14,466.96, 21,665.70 and 12,375 is: 18,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.96 : 21,665.70 = 12,375 : x
  2. Step 2: Convert to fraction form
    14,466.96/21,665.70 = 12,375/x
  3. Step 3: Cross multiply
    14,466.96x = 21,665.70 × 12,375
  4. Step 4: Simplify right side
    14,466.96x = 268,113,037.50
  5. Step 5: Solve for x
    x = 268,113,037.50/14,466.96
  6. Step 6: Final answer
    x = 18,532.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.