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Finding the Fourth Proportional to 13,775.20, 20,655.12 and 5,010.40

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Solution

The fourth proportional to 13,775.20, 20,655.12 and 5,010.40 is: 7,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.20 : 20,655.12 = 5,010.40 : x
  2. Step 2: Convert to fraction form
    13,775.20/20,655.12 = 5,010.40/x
  3. Step 3: Cross multiply
    13,775.20x = 20,655.12 × 5,010.40
  4. Step 4: Simplify right side
    13,775.20x = 103,490,413.25
  5. Step 5: Solve for x
    x = 103,490,413.25/13,775.20
  6. Step 6: Final answer
    x = 7,512.81

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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.