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Finding the Fourth Proportional to 20,895.36, 31,347.68 and 7,044

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Solution

The fourth proportional to 20,895.36, 31,347.68 and 7,044 is: 10,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,895.36 : 31,347.68 = 7,044 : x
  2. Step 2: Convert to fraction form
    20,895.36/31,347.68 = 7,044/x
  3. Step 3: Cross multiply
    20,895.36x = 31,347.68 × 7,044
  4. Step 4: Simplify right side
    20,895.36x = 220,813,057.92
  5. Step 5: Solve for x
    x = 220,813,057.92/20,895.36
  6. Step 6: Final answer
    x = 10,567.56

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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.