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Finding the Fourth Proportional to 20,993.51, 31,483.79 and 6,950.64

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Solution

The fourth proportional to 20,993.51, 31,483.79 and 6,950.64 is: 10,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.51 : 31,483.79 = 6,950.64 : x
  2. Step 2: Convert to fraction form
    20,993.51/31,483.79 = 6,950.64/x
  3. Step 3: Cross multiply
    20,993.51x = 31,483.79 × 6,950.64
  4. Step 4: Simplify right side
    20,993.51x = 218,832,455.37
  5. Step 5: Solve for x
    x = 218,832,455.37/20,993.51
  6. Step 6: Final answer
    x = 10,423.82

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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.