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Finding the Fourth Proportional to 13,014.65, 19,520.49 and 3,655.43

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Solution

The fourth proportional to 13,014.65, 19,520.49 and 3,655.43 is: 5,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.65 : 19,520.49 = 3,655.43 : x
  2. Step 2: Convert to fraction form
    13,014.65/19,520.49 = 3,655.43/x
  3. Step 3: Cross multiply
    13,014.65x = 19,520.49 × 3,655.43
  4. Step 4: Simplify right side
    13,014.65x = 71,355,687.16
  5. Step 5: Solve for x
    x = 71,355,687.16/13,014.65
  6. Step 6: Final answer
    x = 5,482.72

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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.