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Finding the Fourth Proportional to 19,993.96, 30,009.32 and 10,140.31

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Solution

The fourth proportional to 19,993.96, 30,009.32 and 10,140.31 is: 15,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.96 : 30,009.32 = 10,140.31 : x
  2. Step 2: Convert to fraction form
    19,993.96/30,009.32 = 10,140.31/x
  3. Step 3: Cross multiply
    19,993.96x = 30,009.32 × 10,140.31
  4. Step 4: Simplify right side
    19,993.96x = 304,303,807.69
  5. Step 5: Solve for x
    x = 304,303,807.69/19,993.96
  6. Step 6: Final answer
    x = 15,219.79

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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.