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Finding the Fourth Proportional to 13,932, 19,226.36 and 7,644.38

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Solution

The fourth proportional to 13,932, 19,226.36 and 7,644.38 is: 10,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932 : 19,226.36 = 7,644.38 : x
  2. Step 2: Convert to fraction form
    13,932/19,226.36 = 7,644.38/x
  3. Step 3: Cross multiply
    13,932x = 19,226.36 × 7,644.38
  4. Step 4: Simplify right side
    13,932x = 146,973,524.84
  5. Step 5: Solve for x
    x = 146,973,524.84/13,932
  6. Step 6: Final answer
    x = 10,549.35

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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.