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Finding the Fourth Proportional to 23,576.40, 32,534.46 and 12,965.94

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Solution

The fourth proportional to 23,576.40, 32,534.46 and 12,965.94 is: 17,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576.40 : 32,534.46 = 12,965.94 : x
  2. Step 2: Convert to fraction form
    23,576.40/32,534.46 = 12,965.94/x
  3. Step 3: Cross multiply
    23,576.40x = 32,534.46 × 12,965.94
  4. Step 4: Simplify right side
    23,576.40x = 421,839,856.29
  5. Step 5: Solve for x
    x = 421,839,856.29/23,576.40
  6. Step 6: Final answer
    x = 17,892.46

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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.