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Finding the Fourth Proportional to 12,259.44, 18,389.16 and 7,873.90

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Solution

The fourth proportional to 12,259.44, 18,389.16 and 7,873.90 is: 11,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.44 : 18,389.16 = 7,873.90 : x
  2. Step 2: Convert to fraction form
    12,259.44/18,389.16 = 7,873.90/x
  3. Step 3: Cross multiply
    12,259.44x = 18,389.16 × 7,873.90
  4. Step 4: Simplify right side
    12,259.44x = 144,794,406.92
  5. Step 5: Solve for x
    x = 144,794,406.92/12,259.44
  6. Step 6: Final answer
    x = 11,810.85

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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.