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Finding the Fourth Proportional to 25,644.22, 38,470.41 and 9,848.62

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Solution

The fourth proportional to 25,644.22, 38,470.41 and 9,848.62 is: 14,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644.22 : 38,470.41 = 9,848.62 : x
  2. Step 2: Convert to fraction form
    25,644.22/38,470.41 = 9,848.62/x
  3. Step 3: Cross multiply
    25,644.22x = 38,470.41 × 9,848.62
  4. Step 4: Simplify right side
    25,644.22x = 378,880,449.33
  5. Step 5: Solve for x
    x = 378,880,449.33/25,644.22
  6. Step 6: Final answer
    x = 14,774.50

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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.