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Finding the Fourth Proportional to 13,000.80, 19,500.84 and 3,641.45

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Solution

The fourth proportional to 13,000.80, 19,500.84 and 3,641.45 is: 5,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.80 : 19,500.84 = 3,641.45 : x
  2. Step 2: Convert to fraction form
    13,000.80/19,500.84 = 3,641.45/x
  3. Step 3: Cross multiply
    13,000.80x = 19,500.84 × 3,641.45
  4. Step 4: Simplify right side
    13,000.80x = 71,011,236.31
  5. Step 5: Solve for x
    x = 71,011,236.31/13,000.80
  6. Step 6: Final answer
    x = 5,462.07

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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.