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Finding the Fourth Proportional to 14,207.40, 21,311.10 and 3,677.40

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Solution

The fourth proportional to 14,207.40, 21,311.10 and 3,677.40 is: 5,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,207.40 : 21,311.10 = 3,677.40 : x
  2. Step 2: Convert to fraction form
    14,207.40/21,311.10 = 3,677.40/x
  3. Step 3: Cross multiply
    14,207.40x = 21,311.10 × 3,677.40
  4. Step 4: Simplify right side
    14,207.40x = 78,369,439.14
  5. Step 5: Solve for x
    x = 78,369,439.14/14,207.40
  6. Step 6: Final answer
    x = 5,516.10

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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.