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Finding the Fourth Proportional to 12,705.18, 17,534.24 and 7,400.49

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Solution

The fourth proportional to 12,705.18, 17,534.24 and 7,400.49 is: 10,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.18 : 17,534.24 = 7,400.49 : x
  2. Step 2: Convert to fraction form
    12,705.18/17,534.24 = 7,400.49/x
  3. Step 3: Cross multiply
    12,705.18x = 17,534.24 × 7,400.49
  4. Step 4: Simplify right side
    12,705.18x = 129,761,967.78
  5. Step 5: Solve for x
    x = 129,761,967.78/12,705.18
  6. Step 6: Final answer
    x = 10,213.31

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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.