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Finding the Fourth Proportional to 13,200.54, 19,805.37 and 8,264.30

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Solution

The fourth proportional to 13,200.54, 19,805.37 and 8,264.30 is: 12,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.54 : 19,805.37 = 8,264.30 : x
  2. Step 2: Convert to fraction form
    13,200.54/19,805.37 = 8,264.30/x
  3. Step 3: Cross multiply
    13,200.54x = 19,805.37 × 8,264.30
  4. Step 4: Simplify right side
    13,200.54x = 163,677,463.54
  5. Step 5: Solve for x
    x = 163,677,463.54/13,200.54
  6. Step 6: Final answer
    x = 12,399.30

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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.