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Finding the Fourth Proportional to 21,167.65, 31,751.16 and 5,157.37

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Solution

The fourth proportional to 21,167.65, 31,751.16 and 5,157.37 is: 7,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.65 : 31,751.16 = 5,157.37 : x
  2. Step 2: Convert to fraction form
    21,167.65/31,751.16 = 5,157.37/x
  3. Step 3: Cross multiply
    21,167.65x = 31,751.16 × 5,157.37
  4. Step 4: Simplify right side
    21,167.65x = 163,752,480.05
  5. Step 5: Solve for x
    x = 163,752,480.05/21,167.65
  6. Step 6: Final answer
    x = 7,735.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.