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Finding the Fourth Proportional to 13,687.74, 18,887.78 and 7,720.34

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Solution

The fourth proportional to 13,687.74, 18,887.78 and 7,720.34 is: 10,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.74 : 18,887.78 = 7,720.34 : x
  2. Step 2: Convert to fraction form
    13,687.74/18,887.78 = 7,720.34/x
  3. Step 3: Cross multiply
    13,687.74x = 18,887.78 × 7,720.34
  4. Step 4: Simplify right side
    13,687.74x = 145,820,083.45
  5. Step 5: Solve for x
    x = 145,820,083.45/13,687.74
  6. Step 6: Final answer
    x = 10,653.34

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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.