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Finding the Fourth Proportional to 25,533.82, 38,304.31 and 6,814.46

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Solution

The fourth proportional to 25,533.82, 38,304.31 and 6,814.46 is: 10,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,533.82 : 38,304.31 = 6,814.46 : x
  2. Step 2: Convert to fraction form
    25,533.82/38,304.31 = 6,814.46/x
  3. Step 3: Cross multiply
    25,533.82x = 38,304.31 × 6,814.46
  4. Step 4: Simplify right side
    25,533.82x = 261,023,301.12
  5. Step 5: Solve for x
    x = 261,023,301.12/25,533.82
  6. Step 6: Final answer
    x = 10,222.65

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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.