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Finding the Fourth Proportional to 12,772.60, 17,626.27 and 7,466.35

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Solution

The fourth proportional to 12,772.60, 17,626.27 and 7,466.35 is: 10,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.60 : 17,626.27 = 7,466.35 : x
  2. Step 2: Convert to fraction form
    12,772.60/17,626.27 = 7,466.35/x
  3. Step 3: Cross multiply
    12,772.60x = 17,626.27 × 7,466.35
  4. Step 4: Simplify right side
    12,772.60x = 131,603,901.01
  5. Step 5: Solve for x
    x = 131,603,901.01/12,772.60
  6. Step 6: Final answer
    x = 10,303.61

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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.