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Finding the Fourth Proportional to 12,546.47, 18,830.06 and 6,308.26

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Solution

The fourth proportional to 12,546.47, 18,830.06 and 6,308.26 is: 9,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.47 : 18,830.06 = 6,308.26 : x
  2. Step 2: Convert to fraction form
    12,546.47/18,830.06 = 6,308.26/x
  3. Step 3: Cross multiply
    12,546.47x = 18,830.06 × 6,308.26
  4. Step 4: Simplify right side
    12,546.47x = 118,784,882.99
  5. Step 5: Solve for x
    x = 118,784,882.99/12,546.47
  6. Step 6: Final answer
    x = 9,467.59

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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.