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Finding the Fourth Proportional to 14,543.40, 21,815.10 and 13,474.20

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Solution

The fourth proportional to 14,543.40, 21,815.10 and 13,474.20 is: 20,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.40 : 21,815.10 = 13,474.20 : x
  2. Step 2: Convert to fraction form
    14,543.40/21,815.10 = 13,474.20/x
  3. Step 3: Cross multiply
    14,543.40x = 21,815.10 × 13,474.20
  4. Step 4: Simplify right side
    14,543.40x = 293,941,020.42
  5. Step 5: Solve for x
    x = 293,941,020.42/14,543.40
  6. Step 6: Final answer
    x = 20,211.30

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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.