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Finding the Fourth Proportional to 13,755.84, 18,974.52 and 8,445.48

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Solution

The fourth proportional to 13,755.84, 18,974.52 and 8,445.48 is: 11,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.84 : 18,974.52 = 8,445.48 : x
  2. Step 2: Convert to fraction form
    13,755.84/18,974.52 = 8,445.48/x
  3. Step 3: Cross multiply
    13,755.84x = 18,974.52 × 8,445.48
  4. Step 4: Simplify right side
    13,755.84x = 160,248,929.17
  5. Step 5: Solve for x
    x = 160,248,929.17/13,755.84
  6. Step 6: Final answer
    x = 11,649.52

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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.