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Finding the Fourth Proportional to 13,905.68, 20,866.68 and 5,589.68

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Solution

The fourth proportional to 13,905.68, 20,866.68 and 5,589.68 is: 8,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.68 : 20,866.68 = 5,589.68 : x
  2. Step 2: Convert to fraction form
    13,905.68/20,866.68 = 5,589.68/x
  3. Step 3: Cross multiply
    13,905.68x = 20,866.68 × 5,589.68
  4. Step 4: Simplify right side
    13,905.68x = 116,638,063.86
  5. Step 5: Solve for x
    x = 116,638,063.86/13,905.68
  6. Step 6: Final answer
    x = 8,387.80

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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.