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Finding the Fourth Proportional to 25,521.65, 38,282.47 and 7,992.84

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Solution

The fourth proportional to 25,521.65, 38,282.47 and 7,992.84 is: 11,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,521.65 : 38,282.47 = 7,992.84 : x
  2. Step 2: Convert to fraction form
    25,521.65/38,282.47 = 7,992.84/x
  3. Step 3: Cross multiply
    25,521.65x = 38,282.47 × 7,992.84
  4. Step 4: Simplify right side
    25,521.65x = 305,985,826.05
  5. Step 5: Solve for x
    x = 305,985,826.05/25,521.65
  6. Step 6: Final answer
    x = 11,989.27

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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.