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Finding the Fourth Proportional to 12,772.76, 17,626.54 and 7,466.55

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Solution

The fourth proportional to 12,772.76, 17,626.54 and 7,466.55 is: 10,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.76 : 17,626.54 = 7,466.55 : x
  2. Step 2: Convert to fraction form
    12,772.76/17,626.54 = 7,466.55/x
  3. Step 3: Cross multiply
    12,772.76x = 17,626.54 × 7,466.55
  4. Step 4: Simplify right side
    12,772.76x = 131,609,499.20
  5. Step 5: Solve for x
    x = 131,609,499.20/12,772.76
  6. Step 6: Final answer
    x = 10,303.92

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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.