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Finding the Fourth Proportional to 13,858.54, 20,775.35 and 5,091.30

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Solution

The fourth proportional to 13,858.54, 20,775.35 and 5,091.30 is: 7,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.54 : 20,775.35 = 5,091.30 : x
  2. Step 2: Convert to fraction form
    13,858.54/20,775.35 = 5,091.30/x
  3. Step 3: Cross multiply
    13,858.54x = 20,775.35 × 5,091.30
  4. Step 4: Simplify right side
    13,858.54x = 105,773,552.18
  5. Step 5: Solve for x
    x = 105,773,552.18/13,858.54
  6. Step 6: Final answer
    x = 7,632.37

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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.