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Finding the Fourth Proportional to 12,506.81, 17,258.27 and 7,200.90

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Solution

The fourth proportional to 12,506.81, 17,258.27 and 7,200.90 is: 9,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.81 : 17,258.27 = 7,200.90 : x
  2. Step 2: Convert to fraction form
    12,506.81/17,258.27 = 7,200.90/x
  3. Step 3: Cross multiply
    12,506.81x = 17,258.27 × 7,200.90
  4. Step 4: Simplify right side
    12,506.81x = 124,275,040.44
  5. Step 5: Solve for x
    x = 124,275,040.44/12,506.81
  6. Step 6: Final answer
    x = 9,936.59

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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.