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Finding the Fourth Proportional to 14,301.98, 21,449.54 and 4,942.32

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Solution

The fourth proportional to 14,301.98, 21,449.54 and 4,942.32 is: 7,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.98 : 21,449.54 = 4,942.32 : x
  2. Step 2: Convert to fraction form
    14,301.98/21,449.54 = 4,942.32/x
  3. Step 3: Cross multiply
    14,301.98x = 21,449.54 × 4,942.32
  4. Step 4: Simplify right side
    14,301.98x = 106,010,490.53
  5. Step 5: Solve for x
    x = 106,010,490.53/14,301.98
  6. Step 6: Final answer
    x = 7,412.29

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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.