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Finding the Fourth Proportional to 14,667.90, 22,003.16 and 4,138

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Solution

The fourth proportional to 14,667.90, 22,003.16 and 4,138 is: 6,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.90 : 22,003.16 = 4,138 : x
  2. Step 2: Convert to fraction form
    14,667.90/22,003.16 = 4,138/x
  3. Step 3: Cross multiply
    14,667.90x = 22,003.16 × 4,138
  4. Step 4: Simplify right side
    14,667.90x = 91,049,076.08
  5. Step 5: Solve for x
    x = 91,049,076.08/14,667.90
  6. Step 6: Final answer
    x = 6,207.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.