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Finding the Fourth Proportional to 12,657.36, 17,461.80 and 8,466.96

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Solution

The fourth proportional to 12,657.36, 17,461.80 and 8,466.96 is: 11,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.36 : 17,461.80 = 8,466.96 : x
  2. Step 2: Convert to fraction form
    12,657.36/17,461.80 = 8,466.96/x
  3. Step 3: Cross multiply
    12,657.36x = 17,461.80 × 8,466.96
  4. Step 4: Simplify right side
    12,657.36x = 147,848,362.13
  5. Step 5: Solve for x
    x = 147,848,362.13/12,657.36
  6. Step 6: Final answer
    x = 11,680.82

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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.