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Finding the Fourth Proportional to 13,200.82, 19,808.67 and 5,415.10

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Solution

The fourth proportional to 13,200.82, 19,808.67 and 5,415.10 is: 8,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.82 : 19,808.67 = 5,415.10 : x
  2. Step 2: Convert to fraction form
    13,200.82/19,808.67 = 5,415.10/x
  3. Step 3: Cross multiply
    13,200.82x = 19,808.67 × 5,415.10
  4. Step 4: Simplify right side
    13,200.82x = 107,265,928.92
  5. Step 5: Solve for x
    x = 107,265,928.92/13,200.82
  6. Step 6: Final answer
    x = 8,125.70

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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.