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Finding the Fourth Proportional to 19,512, 26,938.17 and 12,809.36

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Solution

The fourth proportional to 19,512, 26,938.17 and 12,809.36 is: 17,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512 : 26,938.17 = 12,809.36 : x
  2. Step 2: Convert to fraction form
    19,512/26,938.17 = 12,809.36/x
  3. Step 3: Cross multiply
    19,512x = 26,938.17 × 12,809.36
  4. Step 4: Simplify right side
    19,512x = 345,060,582.58
  5. Step 5: Solve for x
    x = 345,060,582.58/19,512
  6. Step 6: Final answer
    x = 17,684.53

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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.