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Finding the Fourth Proportional to 21,546.39, 32,320.14 and 5,964.15

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Solution

The fourth proportional to 21,546.39, 32,320.14 and 5,964.15 is: 8,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546.39 : 32,320.14 = 5,964.15 : x
  2. Step 2: Convert to fraction form
    21,546.39/32,320.14 = 5,964.15/x
  3. Step 3: Cross multiply
    21,546.39x = 32,320.14 × 5,964.15
  4. Step 4: Simplify right side
    21,546.39x = 192,762,162.98
  5. Step 5: Solve for x
    x = 192,762,162.98/21,546.39
  6. Step 6: Final answer
    x = 8,946.38

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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.