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Finding the Fourth Proportional to 20,797.83, 31,178.11 and 7,641

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Solution

The fourth proportional to 20,797.83, 31,178.11 and 7,641 is: 11,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.83 : 31,178.11 = 7,641 : x
  2. Step 2: Convert to fraction form
    20,797.83/31,178.11 = 7,641/x
  3. Step 3: Cross multiply
    20,797.83x = 31,178.11 × 7,641
  4. Step 4: Simplify right side
    20,797.83x = 238,231,938.51
  5. Step 5: Solve for x
    x = 238,231,938.51/20,797.83
  6. Step 6: Final answer
    x = 11,454.65

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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.