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Finding the Fourth Proportional to 12,656.33, 18,996.10 and 6,420.68

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Solution

The fourth proportional to 12,656.33, 18,996.10 and 6,420.68 is: 9,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.33 : 18,996.10 = 6,420.68 : x
  2. Step 2: Convert to fraction form
    12,656.33/18,996.10 = 6,420.68/x
  3. Step 3: Cross multiply
    12,656.33x = 18,996.10 × 6,420.68
  4. Step 4: Simplify right side
    12,656.33x = 121,967,768.32
  5. Step 5: Solve for x
    x = 121,967,768.32/12,656.33
  6. Step 6: Final answer
    x = 9,636.90

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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.