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Finding the Fourth Proportional to 20,807.99, 31,205.50 and 6,953.75

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Solution

The fourth proportional to 20,807.99, 31,205.50 and 6,953.75 is: 10,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.99 : 31,205.50 = 6,953.75 : x
  2. Step 2: Convert to fraction form
    20,807.99/31,205.50 = 6,953.75/x
  3. Step 3: Cross multiply
    20,807.99x = 31,205.50 × 6,953.75
  4. Step 4: Simplify right side
    20,807.99x = 216,995,245.63
  5. Step 5: Solve for x
    x = 216,995,245.63/20,807.99
  6. Step 6: Final answer
    x = 10,428.46

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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.