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Finding the Fourth Proportional to 18,934.84, 26,109.57 and 12,889

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Solution

The fourth proportional to 18,934.84, 26,109.57 and 12,889 is: 17,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,934.84 : 26,109.57 = 12,889 : x
  2. Step 2: Convert to fraction form
    18,934.84/26,109.57 = 12,889/x
  3. Step 3: Cross multiply
    18,934.84x = 26,109.57 × 12,889
  4. Step 4: Simplify right side
    18,934.84x = 336,526,247.73
  5. Step 5: Solve for x
    x = 336,526,247.73/18,934.84
  6. Step 6: Final answer
    x = 17,772.86

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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.