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Finding the Fourth Proportional to 21,320.64, 31,998.08 and 9,634.88

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Solution

The fourth proportional to 21,320.64, 31,998.08 and 9,634.88 is: 14,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,320.64 : 31,998.08 = 9,634.88 : x
  2. Step 2: Convert to fraction form
    21,320.64/31,998.08 = 9,634.88/x
  3. Step 3: Cross multiply
    21,320.64x = 31,998.08 × 9,634.88
  4. Step 4: Simplify right side
    21,320.64x = 308,297,661.03
  5. Step 5: Solve for x
    x = 308,297,661.03/21,320.64
  6. Step 6: Final answer
    x = 14,460.06

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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.