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Finding the Fourth Proportional to 13,902.56, 19,181.52 and 8,312.48

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Solution

The fourth proportional to 13,902.56, 19,181.52 and 8,312.48 is: 11,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.56 : 19,181.52 = 8,312.48 : x
  2. Step 2: Convert to fraction form
    13,902.56/19,181.52 = 8,312.48/x
  3. Step 3: Cross multiply
    13,902.56x = 19,181.52 × 8,312.48
  4. Step 4: Simplify right side
    13,902.56x = 159,446,001.37
  5. Step 5: Solve for x
    x = 159,446,001.37/13,902.56
  6. Step 6: Final answer
    x = 11,468.82

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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.