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Finding the Fourth Proportional to 23,576.46, 32,534.61 and 12,965.46

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Solution

The fourth proportional to 23,576.46, 32,534.61 and 12,965.46 is: 17,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576.46 : 32,534.61 = 12,965.46 : x
  2. Step 2: Convert to fraction form
    23,576.46/32,534.61 = 12,965.46/x
  3. Step 3: Cross multiply
    23,576.46x = 32,534.61 × 12,965.46
  4. Step 4: Simplify right side
    23,576.46x = 421,826,184.57
  5. Step 5: Solve for x
    x = 421,826,184.57/23,576.46
  6. Step 6: Final answer
    x = 17,891.84

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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.