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Finding the Fourth Proportional to 23,321.36, 32,183.43 and 12,710.96

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Solution

The fourth proportional to 23,321.36, 32,183.43 and 12,710.96 is: 17,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,321.36 : 32,183.43 = 12,710.96 : x
  2. Step 2: Convert to fraction form
    23,321.36/32,183.43 = 12,710.96/x
  3. Step 3: Cross multiply
    23,321.36x = 32,183.43 × 12,710.96
  4. Step 4: Simplify right side
    23,321.36x = 409,082,291.39
  5. Step 5: Solve for x
    x = 409,082,291.39/23,321.36
  6. Step 6: Final answer
    x = 17,541.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.