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Finding the Fourth Proportional to 13,661.80, 20,444.10 and 9,482.20

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Solution

The fourth proportional to 13,661.80, 20,444.10 and 9,482.20 is: 14,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.80 : 20,444.10 = 9,482.20 : x
  2. Step 2: Convert to fraction form
    13,661.80/20,444.10 = 9,482.20/x
  3. Step 3: Cross multiply
    13,661.80x = 20,444.10 × 9,482.20
  4. Step 4: Simplify right side
    13,661.80x = 193,855,045.02
  5. Step 5: Solve for x
    x = 193,855,045.02/13,661.80
  6. Step 6: Final answer
    x = 14,189.57

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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.