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Finding the Fourth Proportional to 26,257.50, 39,386.25 and 6,801.50

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Solution

The fourth proportional to 26,257.50, 39,386.25 and 6,801.50 is: 10,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,257.50 : 39,386.25 = 6,801.50 : x
  2. Step 2: Convert to fraction form
    26,257.50/39,386.25 = 6,801.50/x
  3. Step 3: Cross multiply
    26,257.50x = 39,386.25 × 6,801.50
  4. Step 4: Simplify right side
    26,257.50x = 267,885,579.38
  5. Step 5: Solve for x
    x = 267,885,579.38/26,257.50
  6. Step 6: Final answer
    x = 10,202.25

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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.