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Finding the Fourth Proportional to 19,431.24, 29,146.86 and 5,580.24

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Solution

The fourth proportional to 19,431.24, 29,146.86 and 5,580.24 is: 8,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431.24 : 29,146.86 = 5,580.24 : x
  2. Step 2: Convert to fraction form
    19,431.24/29,146.86 = 5,580.24/x
  3. Step 3: Cross multiply
    19,431.24x = 29,146.86 × 5,580.24
  4. Step 4: Simplify right side
    19,431.24x = 162,646,474.05
  5. Step 5: Solve for x
    x = 162,646,474.05/19,431.24
  6. Step 6: Final answer
    x = 8,370.36

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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.