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Finding the Fourth Proportional to 19,694.77, 29,546.55 and 7,214.53

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Solution

The fourth proportional to 19,694.77, 29,546.55 and 7,214.53 is: 10,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.77 : 29,546.55 = 7,214.53 : x
  2. Step 2: Convert to fraction form
    19,694.77/29,546.55 = 7,214.53/x
  3. Step 3: Cross multiply
    19,694.77x = 29,546.55 × 7,214.53
  4. Step 4: Simplify right side
    19,694.77x = 213,164,471.37
  5. Step 5: Solve for x
    x = 213,164,471.37/19,694.77
  6. Step 6: Final answer
    x = 10,823.40

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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.