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Finding the Fourth Proportional to 14,326, 19,757.94 and 9,842.56

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Solution

The fourth proportional to 14,326, 19,757.94 and 9,842.56 is: 13,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,326 : 19,757.94 = 9,842.56 : x
  2. Step 2: Convert to fraction form
    14,326/19,757.94 = 9,842.56/x
  3. Step 3: Cross multiply
    14,326x = 19,757.94 × 9,842.56
  4. Step 4: Simplify right side
    14,326x = 194,468,709.93
  5. Step 5: Solve for x
    x = 194,468,709.93/14,326
  6. Step 6: Final answer
    x = 13,574.53

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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.