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Finding the Fourth Proportional to 23,707.54, 32,716.21 and 13,096.95

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Solution

The fourth proportional to 23,707.54, 32,716.21 and 13,096.95 is: 18,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.54 : 32,716.21 = 13,096.95 : x
  2. Step 2: Convert to fraction form
    23,707.54/32,716.21 = 13,096.95/x
  3. Step 3: Cross multiply
    23,707.54x = 32,716.21 × 13,096.95
  4. Step 4: Simplify right side
    23,707.54x = 428,482,566.56
  5. Step 5: Solve for x
    x = 428,482,566.56/23,707.54
  6. Step 6: Final answer
    x = 18,073.68

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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.