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Finding the Fourth Proportional to 19,065, 28,606.14 and 9,202.44

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Solution

The fourth proportional to 19,065, 28,606.14 and 9,202.44 is: 13,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,065 : 28,606.14 = 9,202.44 : x
  2. Step 2: Convert to fraction form
    19,065/28,606.14 = 9,202.44/x
  3. Step 3: Cross multiply
    19,065x = 28,606.14 × 9,202.44
  4. Step 4: Simplify right side
    19,065x = 263,246,286.98
  5. Step 5: Solve for x
    x = 263,246,286.98/19,065
  6. Step 6: Final answer
    x = 13,807.83

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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.