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Finding the Fourth Proportional to 14,489, 21,733.02 and 4,628.84

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Solution

The fourth proportional to 14,489, 21,733.02 and 4,628.84 is: 6,943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489 : 21,733.02 = 4,628.84 : x
  2. Step 2: Convert to fraction form
    14,489/21,733.02 = 4,628.84/x
  3. Step 3: Cross multiply
    14,489x = 21,733.02 × 4,628.84
  4. Step 4: Simplify right side
    14,489x = 100,598,672.30
  5. Step 5: Solve for x
    x = 100,598,672.30/14,489
  6. Step 6: Final answer
    x = 6,943.11

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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.