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Finding the Fourth Proportional to 25,440.96, 38,162.46 and 9,644.34

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Solution

The fourth proportional to 25,440.96, 38,162.46 and 9,644.34 is: 14,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,440.96 : 38,162.46 = 9,644.34 : x
  2. Step 2: Convert to fraction form
    25,440.96/38,162.46 = 9,644.34/x
  3. Step 3: Cross multiply
    25,440.96x = 38,162.46 × 9,644.34
  4. Step 4: Simplify right side
    25,440.96x = 368,051,739.48
  5. Step 5: Solve for x
    x = 368,051,739.48/25,440.96
  6. Step 6: Final answer
    x = 14,466.90

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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.