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Finding the Fourth Proportional to 18,564.83, 27,847.85 and 5,416.10

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Solution

The fourth proportional to 18,564.83, 27,847.85 and 5,416.10 is: 8,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.83 : 27,847.85 = 5,416.10 : x
  2. Step 2: Convert to fraction form
    18,564.83/27,847.85 = 5,416.10/x
  3. Step 3: Cross multiply
    18,564.83x = 27,847.85 × 5,416.10
  4. Step 4: Simplify right side
    18,564.83x = 150,826,574.07
  5. Step 5: Solve for x
    x = 150,826,574.07/18,564.83
  6. Step 6: Final answer
    x = 8,124.32

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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.