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Finding the Fourth Proportional to 12,645.66, 17,447.42 and 7,607.36

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Solution

The fourth proportional to 12,645.66, 17,447.42 and 7,607.36 is: 10,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.66 : 17,447.42 = 7,607.36 : x
  2. Step 2: Convert to fraction form
    12,645.66/17,447.42 = 7,607.36/x
  3. Step 3: Cross multiply
    12,645.66x = 17,447.42 × 7,607.36
  4. Step 4: Simplify right side
    12,645.66x = 132,728,805.01
  5. Step 5: Solve for x
    x = 132,728,805.01/12,645.66
  6. Step 6: Final answer
    x = 10,496.00

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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.