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Finding the Fourth Proportional to 21,346.79, 32,000.31 and 9,494.33

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Solution

The fourth proportional to 21,346.79, 32,000.31 and 9,494.33 is: 14,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,346.79 : 32,000.31 = 9,494.33 : x
  2. Step 2: Convert to fraction form
    21,346.79/32,000.31 = 9,494.33/x
  3. Step 3: Cross multiply
    21,346.79x = 32,000.31 × 9,494.33
  4. Step 4: Simplify right side
    21,346.79x = 303,821,343.24
  5. Step 5: Solve for x
    x = 303,821,343.24/21,346.79
  6. Step 6: Final answer
    x = 14,232.65

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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.