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Finding the Fourth Proportional to 11,820.24, 17,730.40 and 3,612.24

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Solution

The fourth proportional to 11,820.24, 17,730.40 and 3,612.24 is: 5,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.24 : 17,730.40 = 3,612.24 : x
  2. Step 2: Convert to fraction form
    11,820.24/17,730.40 = 3,612.24/x
  3. Step 3: Cross multiply
    11,820.24x = 17,730.40 × 3,612.24
  4. Step 4: Simplify right side
    11,820.24x = 64,046,460.10
  5. Step 5: Solve for x
    x = 64,046,460.10/11,820.24
  6. Step 6: Final answer
    x = 5,418.37

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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.