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Finding the Fourth Proportional to 14,157.65, 21,239.45 and 5,837.60

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Solution

The fourth proportional to 14,157.65, 21,239.45 and 5,837.60 is: 8,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.65 : 21,239.45 = 5,837.60 : x
  2. Step 2: Convert to fraction form
    14,157.65/21,239.45 = 5,837.60/x
  3. Step 3: Cross multiply
    14,157.65x = 21,239.45 × 5,837.60
  4. Step 4: Simplify right side
    14,157.65x = 123,987,277.93
  5. Step 5: Solve for x
    x = 123,987,277.93/14,157.65
  6. Step 6: Final answer
    x = 8,757.62

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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.