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Finding the Fourth Proportional to 25,052.34, 34,576.03 and 14,297.16

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Solution

The fourth proportional to 25,052.34, 34,576.03 and 14,297.16 is: 19,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,052.34 : 34,576.03 = 14,297.16 : x
  2. Step 2: Convert to fraction form
    25,052.34/34,576.03 = 14,297.16/x
  3. Step 3: Cross multiply
    25,052.34x = 34,576.03 × 14,297.16
  4. Step 4: Simplify right side
    25,052.34x = 494,339,033.07
  5. Step 5: Solve for x
    x = 494,339,033.07/25,052.34
  6. Step 6: Final answer
    x = 19,732.25

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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.