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Finding the Fourth Proportional to 12,605.34, 17,395.20 and 7,016.34

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Solution

The fourth proportional to 12,605.34, 17,395.20 and 7,016.34 is: 9,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.34 : 17,395.20 = 7,016.34 : x
  2. Step 2: Convert to fraction form
    12,605.34/17,395.20 = 7,016.34/x
  3. Step 3: Cross multiply
    12,605.34x = 17,395.20 × 7,016.34
  4. Step 4: Simplify right side
    12,605.34x = 122,050,637.57
  5. Step 5: Solve for x
    x = 122,050,637.57/12,605.34
  6. Step 6: Final answer
    x = 9,682.46

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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.