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Finding the Fourth Proportional to 12,567.65, 18,844.25 and 5,177.21

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Solution

The fourth proportional to 12,567.65, 18,844.25 and 5,177.21 is: 7,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.65 : 18,844.25 = 5,177.21 : x
  2. Step 2: Convert to fraction form
    12,567.65/18,844.25 = 5,177.21/x
  3. Step 3: Cross multiply
    12,567.65x = 18,844.25 × 5,177.21
  4. Step 4: Simplify right side
    12,567.65x = 97,560,519.44
  5. Step 5: Solve for x
    x = 97,560,519.44/12,567.65
  6. Step 6: Final answer
    x = 7,762.83

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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.