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Finding the Fourth Proportional to 13,385.92, 20,078.88 and 5,176

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Solution

The fourth proportional to 13,385.92, 20,078.88 and 5,176 is: 7,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.92 : 20,078.88 = 5,176 : x
  2. Step 2: Convert to fraction form
    13,385.92/20,078.88 = 5,176/x
  3. Step 3: Cross multiply
    13,385.92x = 20,078.88 × 5,176
  4. Step 4: Simplify right side
    13,385.92x = 103,928,282.88
  5. Step 5: Solve for x
    x = 103,928,282.88/13,385.92
  6. Step 6: Final answer
    x = 7,764.00

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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.