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Finding the Fourth Proportional to 14,324.42, 21,477.99 and 6,425.50

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Solution

The fourth proportional to 14,324.42, 21,477.99 and 6,425.50 is: 9,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.42 : 21,477.99 = 6,425.50 : x
  2. Step 2: Convert to fraction form
    14,324.42/21,477.99 = 6,425.50/x
  3. Step 3: Cross multiply
    14,324.42x = 21,477.99 × 6,425.50
  4. Step 4: Simplify right side
    14,324.42x = 138,006,824.75
  5. Step 5: Solve for x
    x = 138,006,824.75/14,324.42
  6. Step 6: Final answer
    x = 9,634.37

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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.