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Finding the Fourth Proportional to 25,900.65, 38,846.79 and 9,257.85

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Solution

The fourth proportional to 25,900.65, 38,846.79 and 9,257.85 is: 13,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.65 : 38,846.79 = 9,257.85 : x
  2. Step 2: Convert to fraction form
    25,900.65/38,846.79 = 9,257.85/x
  3. Step 3: Cross multiply
    25,900.65x = 38,846.79 × 9,257.85
  4. Step 4: Simplify right side
    25,900.65x = 359,637,754.80
  5. Step 5: Solve for x
    x = 359,637,754.80/25,900.65
  6. Step 6: Final answer
    x = 13,885.28

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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.