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Finding the Fourth Proportional to 16,972, 25,466.16 and 12,837.28

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Solution

The fourth proportional to 16,972, 25,466.16 and 12,837.28 is: 19,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,972 : 25,466.16 = 12,837.28 : x
  2. Step 2: Convert to fraction form
    16,972/25,466.16 = 12,837.28/x
  3. Step 3: Cross multiply
    16,972x = 25,466.16 × 12,837.28
  4. Step 4: Simplify right side
    16,972x = 326,916,226.44
  5. Step 5: Solve for x
    x = 326,916,226.44/16,972
  6. Step 6: Final answer
    x = 19,262.09

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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.