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Finding the Fourth Proportional to 14,592, 21,891.28 and 4,202.96

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Solution

The fourth proportional to 14,592, 21,891.28 and 4,202.96 is: 6,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592 : 21,891.28 = 4,202.96 : x
  2. Step 2: Convert to fraction form
    14,592/21,891.28 = 4,202.96/x
  3. Step 3: Cross multiply
    14,592x = 21,891.28 × 4,202.96
  4. Step 4: Simplify right side
    14,592x = 92,008,174.19
  5. Step 5: Solve for x
    x = 92,008,174.19/14,592
  6. Step 6: Final answer
    x = 6,305.38

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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.