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Finding the Fourth Proportional to 13,878.81, 20,808.50 and 5,112.59

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Solution

The fourth proportional to 13,878.81, 20,808.50 and 5,112.59 is: 7,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.81 : 20,808.50 = 5,112.59 : x
  2. Step 2: Convert to fraction form
    13,878.81/20,808.50 = 5,112.59/x
  3. Step 3: Cross multiply
    13,878.81x = 20,808.50 × 5,112.59
  4. Step 4: Simplify right side
    13,878.81x = 106,385,199.41
  5. Step 5: Solve for x
    x = 106,385,199.41/13,878.81
  6. Step 6: Final answer
    x = 7,665.30

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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.