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Finding the Fourth Proportional to 20,690.40, 31,038.40 and 6,645.76

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Solution

The fourth proportional to 20,690.40, 31,038.40 and 6,645.76 is: 9,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.40 : 31,038.40 = 6,645.76 : x
  2. Step 2: Convert to fraction form
    20,690.40/31,038.40 = 6,645.76/x
  3. Step 3: Cross multiply
    20,690.40x = 31,038.40 × 6,645.76
  4. Step 4: Simplify right side
    20,690.40x = 206,273,757.18
  5. Step 5: Solve for x
    x = 206,273,757.18/20,690.40
  6. Step 6: Final answer
    x = 9,969.54

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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.