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Finding the Fourth Proportional to 13,923.84, 20,875.44 and 5,157.12

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Solution

The fourth proportional to 13,923.84, 20,875.44 and 5,157.12 is: 7,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.84 : 20,875.44 = 5,157.12 : x
  2. Step 2: Convert to fraction form
    13,923.84/20,875.44 = 5,157.12/x
  3. Step 3: Cross multiply
    13,923.84x = 20,875.44 × 5,157.12
  4. Step 4: Simplify right side
    13,923.84x = 107,657,149.13
  5. Step 5: Solve for x
    x = 107,657,149.13/13,923.84
  6. Step 6: Final answer
    x = 7,731.86

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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.