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Finding the Fourth Proportional to 19,697.34, 29,546.27 and 6,549.71

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Solution

The fourth proportional to 19,697.34, 29,546.27 and 6,549.71 is: 9,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.34 : 29,546.27 = 6,549.71 : x
  2. Step 2: Convert to fraction form
    19,697.34/29,546.27 = 6,549.71/x
  3. Step 3: Cross multiply
    19,697.34x = 29,546.27 × 6,549.71
  4. Step 4: Simplify right side
    19,697.34x = 193,519,662.64
  5. Step 5: Solve for x
    x = 193,519,662.64/19,697.34
  6. Step 6: Final answer
    x = 9,824.66

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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.