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Finding the Fourth Proportional to 19,141.16, 28,711.76 and 10,431.44

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Solution

The fourth proportional to 19,141.16, 28,711.76 and 10,431.44 is: 15,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,141.16 : 28,711.76 = 10,431.44 : x
  2. Step 2: Convert to fraction form
    19,141.16/28,711.76 = 10,431.44/x
  3. Step 3: Cross multiply
    19,141.16x = 28,711.76 × 10,431.44
  4. Step 4: Simplify right side
    19,141.16x = 299,505,001.73
  5. Step 5: Solve for x
    x = 299,505,001.73/19,141.16
  6. Step 6: Final answer
    x = 15,647.17

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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.