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Finding the Fourth Proportional to 13,860.96, 20,793.50 and 5,095.20

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Solution

The fourth proportional to 13,860.96, 20,793.50 and 5,095.20 is: 7,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860.96 : 20,793.50 = 5,095.20 : x
  2. Step 2: Convert to fraction form
    13,860.96/20,793.50 = 5,095.20/x
  3. Step 3: Cross multiply
    13,860.96x = 20,793.50 × 5,095.20
  4. Step 4: Simplify right side
    13,860.96x = 105,947,041.20
  5. Step 5: Solve for x
    x = 105,947,041.20/13,860.96
  6. Step 6: Final answer
    x = 7,643.56

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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.