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Finding the Fourth Proportional to 13,759.86, 20,641.14 and 4,995.46

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Solution

The fourth proportional to 13,759.86, 20,641.14 and 4,995.46 is: 7,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.86 : 20,641.14 = 4,995.46 : x
  2. Step 2: Convert to fraction form
    13,759.86/20,641.14 = 4,995.46/x
  3. Step 3: Cross multiply
    13,759.86x = 20,641.14 × 4,995.46
  4. Step 4: Simplify right side
    13,759.86x = 103,111,989.22
  5. Step 5: Solve for x
    x = 103,111,989.22/13,759.86
  6. Step 6: Final answer
    x = 7,493.68

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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.