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Finding the Fourth Proportional to 12,705.17, 17,534.49 and 7,040.39

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Solution

The fourth proportional to 12,705.17, 17,534.49 and 7,040.39 is: 9,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.17 : 17,534.49 = 7,040.39 : x
  2. Step 2: Convert to fraction form
    12,705.17/17,534.49 = 7,040.39/x
  3. Step 3: Cross multiply
    12,705.17x = 17,534.49 × 7,040.39
  4. Step 4: Simplify right side
    12,705.17x = 123,449,648.05
  5. Step 5: Solve for x
    x = 123,449,648.05/12,705.17
  6. Step 6: Final answer
    x = 9,716.49

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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.