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Finding the Fourth Proportional to 14,537.96, 21,809 and 4,673.92

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Solution

The fourth proportional to 14,537.96, 21,809 and 4,673.92 is: 7,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.96 : 21,809 = 4,673.92 : x
  2. Step 2: Convert to fraction form
    14,537.96/21,809 = 4,673.92/x
  3. Step 3: Cross multiply
    14,537.96x = 21,809 × 4,673.92
  4. Step 4: Simplify right side
    14,537.96x = 101,933,521.28
  5. Step 5: Solve for x
    x = 101,933,521.28/14,537.96
  6. Step 6: Final answer
    x = 7,011.54

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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.