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Finding the Fourth Proportional to 12,414.48, 18,597.96 and 7,720.56

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Solution

The fourth proportional to 12,414.48, 18,597.96 and 7,720.56 is: 11,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.48 : 18,597.96 = 7,720.56 : x
  2. Step 2: Convert to fraction form
    12,414.48/18,597.96 = 7,720.56/x
  3. Step 3: Cross multiply
    12,414.48x = 18,597.96 × 7,720.56
  4. Step 4: Simplify right side
    12,414.48x = 143,586,666.06
  5. Step 5: Solve for x
    x = 143,586,666.06/12,414.48
  6. Step 6: Final answer
    x = 11,566.06

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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.