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Finding the Fourth Proportional to 13,625.65, 20,438.54 and 4,138.05

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Solution

The fourth proportional to 13,625.65, 20,438.54 and 4,138.05 is: 6,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.65 : 20,438.54 = 4,138.05 : x
  2. Step 2: Convert to fraction form
    13,625.65/20,438.54 = 4,138.05/x
  3. Step 3: Cross multiply
    13,625.65x = 20,438.54 × 4,138.05
  4. Step 4: Simplify right side
    13,625.65x = 84,575,700.45
  5. Step 5: Solve for x
    x = 84,575,700.45/13,625.65
  6. Step 6: Final answer
    x = 6,207.09

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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.