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Finding the Fourth Proportional to 23,576.98, 32,535.74 and 12,966.44

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Solution

The fourth proportional to 23,576.98, 32,535.74 and 12,966.44 is: 17,893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576.98 : 32,535.74 = 12,966.44 : x
  2. Step 2: Convert to fraction form
    23,576.98/32,535.74 = 12,966.44/x
  3. Step 3: Cross multiply
    23,576.98x = 32,535.74 × 12,966.44
  4. Step 4: Simplify right side
    23,576.98x = 421,872,720.57
  5. Step 5: Solve for x
    x = 421,872,720.57/23,576.98
  6. Step 6: Final answer
    x = 17,893.42

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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.