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Finding the Fourth Proportional to 21,077.38, 31,617.88 and 5,495

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Solution

The fourth proportional to 21,077.38, 31,617.88 and 5,495 is: 8,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.38 : 31,617.88 = 5,495 : x
  2. Step 2: Convert to fraction form
    21,077.38/31,617.88 = 5,495/x
  3. Step 3: Cross multiply
    21,077.38x = 31,617.88 × 5,495
  4. Step 4: Simplify right side
    21,077.38x = 173,740,250.60
  5. Step 5: Solve for x
    x = 173,740,250.60/21,077.38
  6. Step 6: Final answer
    x = 8,242.97

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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.