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Finding the Fourth Proportional to 25,321.80, 37,982.70 and 14,824.20

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Solution

The fourth proportional to 25,321.80, 37,982.70 and 14,824.20 is: 22,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,321.80 : 37,982.70 = 14,824.20 : x
  2. Step 2: Convert to fraction form
    25,321.80/37,982.70 = 14,824.20/x
  3. Step 3: Cross multiply
    25,321.80x = 37,982.70 × 14,824.20
  4. Step 4: Simplify right side
    25,321.80x = 563,063,141.34
  5. Step 5: Solve for x
    x = 563,063,141.34/25,321.80
  6. Step 6: Final answer
    x = 22,236.30

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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.