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Finding the Fourth Proportional to 11,430.82, 17,142.74 and 4,033.55

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Solution

The fourth proportional to 11,430.82, 17,142.74 and 4,033.55 is: 6,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.82 : 17,142.74 = 4,033.55 : x
  2. Step 2: Convert to fraction form
    11,430.82/17,142.74 = 4,033.55/x
  3. Step 3: Cross multiply
    11,430.82x = 17,142.74 × 4,033.55
  4. Step 4: Simplify right side
    11,430.82x = 69,146,159.43
  5. Step 5: Solve for x
    x = 69,146,159.43/11,430.82
  6. Step 6: Final answer
    x = 6,049.10

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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.