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Finding the Fourth Proportional to 13,598.46, 18,760.50 and 8,284.05

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Solution

The fourth proportional to 13,598.46, 18,760.50 and 8,284.05 is: 11,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.46 : 18,760.50 = 8,284.05 : x
  2. Step 2: Convert to fraction form
    13,598.46/18,760.50 = 8,284.05/x
  3. Step 3: Cross multiply
    13,598.46x = 18,760.50 × 8,284.05
  4. Step 4: Simplify right side
    13,598.46x = 155,412,920.03
  5. Step 5: Solve for x
    x = 155,412,920.03/13,598.46
  6. Step 6: Final answer
    x = 11,428.71

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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.