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Finding the Fourth Proportional to 23,696.57, 32,707.52 and 14,738.97

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Solution

The fourth proportional to 23,696.57, 32,707.52 and 14,738.97 is: 20,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.57 : 32,707.52 = 14,738.97 : x
  2. Step 2: Convert to fraction form
    23,696.57/32,707.52 = 14,738.97/x
  3. Step 3: Cross multiply
    23,696.57x = 32,707.52 × 14,738.97
  4. Step 4: Simplify right side
    23,696.57x = 482,075,156.05
  5. Step 5: Solve for x
    x = 482,075,156.05/23,696.57
  6. Step 6: Final answer
    x = 20,343.67

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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.