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Finding the Fourth Proportional to 19,644, 29,446.56 and 9,237.12

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Solution

The fourth proportional to 19,644, 29,446.56 and 9,237.12 is: 13,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644 : 29,446.56 = 9,237.12 : x
  2. Step 2: Convert to fraction form
    19,644/29,446.56 = 9,237.12/x
  3. Step 3: Cross multiply
    19,644x = 29,446.56 × 9,237.12
  4. Step 4: Simplify right side
    19,644x = 272,001,408.31
  5. Step 5: Solve for x
    x = 272,001,408.31/19,644
  6. Step 6: Final answer
    x = 13,846.54

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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.