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Finding the Fourth Proportional to 12,766.32, 17,617.91 and 7,731.45

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Solution

The fourth proportional to 12,766.32, 17,617.91 and 7,731.45 is: 10,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.32 : 17,617.91 = 7,731.45 : x
  2. Step 2: Convert to fraction form
    12,766.32/17,617.91 = 7,731.45/x
  3. Step 3: Cross multiply
    12,766.32x = 17,617.91 × 7,731.45
  4. Step 4: Simplify right side
    12,766.32x = 136,211,951.61
  5. Step 5: Solve for x
    x = 136,211,951.61/12,766.32
  6. Step 6: Final answer
    x = 10,669.63

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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.