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Finding the Fourth Proportional to 19,732.80, 29,604.64 and 12,715.20

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Solution

The fourth proportional to 19,732.80, 29,604.64 and 12,715.20 is: 19,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.80 : 29,604.64 = 12,715.20 : x
  2. Step 2: Convert to fraction form
    19,732.80/29,604.64 = 12,715.20/x
  3. Step 3: Cross multiply
    19,732.80x = 29,604.64 × 12,715.20
  4. Step 4: Simplify right side
    19,732.80x = 376,428,918.53
  5. Step 5: Solve for x
    x = 376,428,918.53/19,732.80
  6. Step 6: Final answer
    x = 19,076.31

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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.