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Finding the Fourth Proportional to 19,465.31, 29,202.83 and 5,614.31

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Solution

The fourth proportional to 19,465.31, 29,202.83 and 5,614.31 is: 8,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,465.31 : 29,202.83 = 5,614.31 : x
  2. Step 2: Convert to fraction form
    19,465.31/29,202.83 = 5,614.31/x
  3. Step 3: Cross multiply
    19,465.31x = 29,202.83 × 5,614.31
  4. Step 4: Simplify right side
    19,465.31x = 163,953,806.49
  5. Step 5: Solve for x
    x = 163,953,806.49/19,465.31
  6. Step 6: Final answer
    x = 8,422.87

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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.