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Finding the Fourth Proportional to 14,410.16, 21,624.96 and 5,644

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Solution

The fourth proportional to 14,410.16, 21,624.96 and 5,644 is: 8,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.16 : 21,624.96 = 5,644 : x
  2. Step 2: Convert to fraction form
    14,410.16/21,624.96 = 5,644/x
  3. Step 3: Cross multiply
    14,410.16x = 21,624.96 × 5,644
  4. Step 4: Simplify right side
    14,410.16x = 122,051,274.24
  5. Step 5: Solve for x
    x = 122,051,274.24/14,410.16
  6. Step 6: Final answer
    x = 8,469.81

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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.