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Finding the Fourth Proportional to 12,775.35, 17,625.09 and 9,426.16

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Solution

The fourth proportional to 12,775.35, 17,625.09 and 9,426.16 is: 13,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.35 : 17,625.09 = 9,426.16 : x
  2. Step 2: Convert to fraction form
    12,775.35/17,625.09 = 9,426.16/x
  3. Step 3: Cross multiply
    12,775.35x = 17,625.09 × 9,426.16
  4. Step 4: Simplify right side
    12,775.35x = 166,136,918.35
  5. Step 5: Solve for x
    x = 166,136,918.35/12,775.35
  6. Step 6: Final answer
    x = 13,004.49

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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.