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Finding the Fourth Proportional to 18,259.87, 27,317.75 and 13,830.30

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Solution

The fourth proportional to 18,259.87, 27,317.75 and 13,830.30 is: 20,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,259.87 : 27,317.75 = 13,830.30 : x
  2. Step 2: Convert to fraction form
    18,259.87/27,317.75 = 13,830.30/x
  3. Step 3: Cross multiply
    18,259.87x = 27,317.75 × 13,830.30
  4. Step 4: Simplify right side
    18,259.87x = 377,812,608.67
  5. Step 5: Solve for x
    x = 377,812,608.67/18,259.87
  6. Step 6: Final answer
    x = 20,690.87

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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.