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Finding the Fourth Proportional to 14,614.56, 21,921.84 and 4,754.84

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Solution

The fourth proportional to 14,614.56, 21,921.84 and 4,754.84 is: 7,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.56 : 21,921.84 = 4,754.84 : x
  2. Step 2: Convert to fraction form
    14,614.56/21,921.84 = 4,754.84/x
  3. Step 3: Cross multiply
    14,614.56x = 21,921.84 × 4,754.84
  4. Step 4: Simplify right side
    14,614.56x = 104,234,732.10
  5. Step 5: Solve for x
    x = 104,234,732.10/14,614.56
  6. Step 6: Final answer
    x = 7,132.25

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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.