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Finding the Fourth Proportional to 12,877.24, 17,764.32 and 8,398.96

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Solution

The fourth proportional to 12,877.24, 17,764.32 and 8,398.96 is: 11,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.24 : 17,764.32 = 8,398.96 : x
  2. Step 2: Convert to fraction form
    12,877.24/17,764.32 = 8,398.96/x
  3. Step 3: Cross multiply
    12,877.24x = 17,764.32 × 8,398.96
  4. Step 4: Simplify right side
    12,877.24x = 149,201,813.11
  5. Step 5: Solve for x
    x = 149,201,813.11/12,877.24
  6. Step 6: Final answer
    x = 11,586.47

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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.