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Finding the Fourth Proportional to 10,004.31, 14,969.51 and 8,232.84

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Solution

The fourth proportional to 10,004.31, 14,969.51 and 8,232.84 is: 12,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.31 : 14,969.51 = 8,232.84 : x
  2. Step 2: Convert to fraction form
    10,004.31/14,969.51 = 8,232.84/x
  3. Step 3: Cross multiply
    10,004.31x = 14,969.51 × 8,232.84
  4. Step 4: Simplify right side
    10,004.31x = 123,241,570.42
  5. Step 5: Solve for x
    x = 123,241,570.42/10,004.31
  6. Step 6: Final answer
    x = 12,318.85

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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.