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Finding the Fourth Proportional to 14,138.34, 21,207.42 and 3,750

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Solution

The fourth proportional to 14,138.34, 21,207.42 and 3,750 is: 5,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.34 : 21,207.42 = 3,750 : x
  2. Step 2: Convert to fraction form
    14,138.34/21,207.42 = 3,750/x
  3. Step 3: Cross multiply
    14,138.34x = 21,207.42 × 3,750
  4. Step 4: Simplify right side
    14,138.34x = 79,527,825
  5. Step 5: Solve for x
    x = 79,527,825/14,138.34
  6. Step 6: Final answer
    x = 5,624.98

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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.