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Finding the Fourth Proportional to 13,678.56, 18,873.72 and 8,089.92

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Solution

The fourth proportional to 13,678.56, 18,873.72 and 8,089.92 is: 11,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.56 : 18,873.72 = 8,089.92 : x
  2. Step 2: Convert to fraction form
    13,678.56/18,873.72 = 8,089.92/x
  3. Step 3: Cross multiply
    13,678.56x = 18,873.72 × 8,089.92
  4. Step 4: Simplify right side
    13,678.56x = 152,686,884.90
  5. Step 5: Solve for x
    x = 152,686,884.90/13,678.56
  6. Step 6: Final answer
    x = 11,162.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.