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Finding the Fourth Proportional to 12,606.82, 17,405.13 and 8,361.58

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Solution

The fourth proportional to 12,606.82, 17,405.13 and 8,361.58 is: 11,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.82 : 17,405.13 = 8,361.58 : x
  2. Step 2: Convert to fraction form
    12,606.82/17,405.13 = 8,361.58/x
  3. Step 3: Cross multiply
    12,606.82x = 17,405.13 × 8,361.58
  4. Step 4: Simplify right side
    12,606.82x = 145,534,386.91
  5. Step 5: Solve for x
    x = 145,534,386.91/12,606.82
  6. Step 6: Final answer
    x = 11,544.10

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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.