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Finding the Fourth Proportional to 25,860.16, 38,731.92 and 11,980

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Solution

The fourth proportional to 25,860.16, 38,731.92 and 11,980 is: 17,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,860.16 : 38,731.92 = 11,980 : x
  2. Step 2: Convert to fraction form
    25,860.16/38,731.92 = 11,980/x
  3. Step 3: Cross multiply
    25,860.16x = 38,731.92 × 11,980
  4. Step 4: Simplify right side
    25,860.16x = 464,008,401.60
  5. Step 5: Solve for x
    x = 464,008,401.60/25,860.16
  6. Step 6: Final answer
    x = 17,942.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.