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Finding the Fourth Proportional to 22,310.39, 33,475.80 and 9,664.01

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Solution

The fourth proportional to 22,310.39, 33,475.80 and 9,664.01 is: 14,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310.39 : 33,475.80 = 9,664.01 : x
  2. Step 2: Convert to fraction form
    22,310.39/33,475.80 = 9,664.01/x
  3. Step 3: Cross multiply
    22,310.39x = 33,475.80 × 9,664.01
  4. Step 4: Simplify right side
    22,310.39x = 323,510,417.64
  5. Step 5: Solve for x
    x = 323,510,417.64/22,310.39
  6. Step 6: Final answer
    x = 14,500.44

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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.