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Finding the Fourth Proportional to 23,710.96, 32,721.12 and 13,100.56

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Solution

The fourth proportional to 23,710.96, 32,721.12 and 13,100.56 is: 18,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.96 : 32,721.12 = 13,100.56 : x
  2. Step 2: Convert to fraction form
    23,710.96/32,721.12 = 13,100.56/x
  3. Step 3: Cross multiply
    23,710.96x = 32,721.12 × 13,100.56
  4. Step 4: Simplify right side
    23,710.96x = 428,664,995.83
  5. Step 5: Solve for x
    x = 428,664,995.83/23,710.96
  6. Step 6: Final answer
    x = 18,078.77

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