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Finding the Fourth Proportional to 25,199.82, 34,777.92 and 13,871.58

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Solution

The fourth proportional to 25,199.82, 34,777.92 and 13,871.58 is: 19,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,199.82 : 34,777.92 = 13,871.58 : x
  2. Step 2: Convert to fraction form
    25,199.82/34,777.92 = 13,871.58/x
  3. Step 3: Cross multiply
    25,199.82x = 34,777.92 × 13,871.58
  4. Step 4: Simplify right side
    25,199.82x = 482,424,699.51
  5. Step 5: Solve for x
    x = 482,424,699.51/25,199.82
  6. Step 6: Final answer
    x = 19,143.97

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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.