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Finding the Fourth Proportional to 13,878.57, 20,817.83 and 4,017.84

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Solution

The fourth proportional to 13,878.57, 20,817.83 and 4,017.84 is: 6,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.57 : 20,817.83 = 4,017.84 : x
  2. Step 2: Convert to fraction form
    13,878.57/20,817.83 = 4,017.84/x
  3. Step 3: Cross multiply
    13,878.57x = 20,817.83 × 4,017.84
  4. Step 4: Simplify right side
    13,878.57x = 83,642,690.00
  5. Step 5: Solve for x
    x = 83,642,690.00/13,878.57
  6. Step 6: Final answer
    x = 6,026.75

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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.