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Finding the Fourth Proportional to 14,410, 21,621.48 and 8,254

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Solution

The fourth proportional to 14,410, 21,621.48 and 8,254 is: 12,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410 : 21,621.48 = 8,254 : x
  2. Step 2: Convert to fraction form
    14,410/21,621.48 = 8,254/x
  3. Step 3: Cross multiply
    14,410x = 21,621.48 × 8,254
  4. Step 4: Simplify right side
    14,410x = 178,463,695.92
  5. Step 5: Solve for x
    x = 178,463,695.92/14,410
  6. Step 6: Final answer
    x = 12,384.71

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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.