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Finding the Fourth Proportional to 25,786.50, 38,671.65 and 9,990.45

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Solution

The fourth proportional to 25,786.50, 38,671.65 and 9,990.45 is: 14,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,786.50 : 38,671.65 = 9,990.45 : x
  2. Step 2: Convert to fraction form
    25,786.50/38,671.65 = 9,990.45/x
  3. Step 3: Cross multiply
    25,786.50x = 38,671.65 × 9,990.45
  4. Step 4: Simplify right side
    25,786.50x = 386,347,185.74
  5. Step 5: Solve for x
    x = 386,347,185.74/25,786.50
  6. Step 6: Final answer
    x = 14,982.54

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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.