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Finding the Fourth Proportional to 17,175.63, 25,732.27 and 12,683.80

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Solution

The fourth proportional to 17,175.63, 25,732.27 and 12,683.80 is: 19,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,175.63 : 25,732.27 = 12,683.80 : x
  2. Step 2: Convert to fraction form
    17,175.63/25,732.27 = 12,683.80/x
  3. Step 3: Cross multiply
    17,175.63x = 25,732.27 × 12,683.80
  4. Step 4: Simplify right side
    17,175.63x = 326,382,966.23
  5. Step 5: Solve for x
    x = 326,382,966.23/17,175.63
  6. Step 6: Final answer
    x = 19,002.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.