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Finding the Fourth Proportional to 12,677.07, 17,471.16 and 8,420.61

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Solution

The fourth proportional to 12,677.07, 17,471.16 and 8,420.61 is: 11,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.07 : 17,471.16 = 8,420.61 : x
  2. Step 2: Convert to fraction form
    12,677.07/17,471.16 = 8,420.61/x
  3. Step 3: Cross multiply
    12,677.07x = 17,471.16 × 8,420.61
  4. Step 4: Simplify right side
    12,677.07x = 147,117,824.61
  5. Step 5: Solve for x
    x = 147,117,824.61/12,677.07
  6. Step 6: Final answer
    x = 11,605.03

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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.