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Finding the Fourth Proportional to 14,442.39, 19,930.32 and 8,069.09

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Solution

The fourth proportional to 14,442.39, 19,930.32 and 8,069.09 is: 11,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.39 : 19,930.32 = 8,069.09 : x
  2. Step 2: Convert to fraction form
    14,442.39/19,930.32 = 8,069.09/x
  3. Step 3: Cross multiply
    14,442.39x = 19,930.32 × 8,069.09
  4. Step 4: Simplify right side
    14,442.39x = 160,819,446.16
  5. Step 5: Solve for x
    x = 160,819,446.16/14,442.39
  6. Step 6: Final answer
    x = 11,135.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.