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Finding the Fourth Proportional to 14,875, 22,321.16 and 6,667

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Solution

The fourth proportional to 14,875, 22,321.16 and 6,667 is: 10,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,875 : 22,321.16 = 6,667 : x
  2. Step 2: Convert to fraction form
    14,875/22,321.16 = 6,667/x
  3. Step 3: Cross multiply
    14,875x = 22,321.16 × 6,667
  4. Step 4: Simplify right side
    14,875x = 148,815,173.72
  5. Step 5: Solve for x
    x = 148,815,173.72/14,875
  6. Step 6: Final answer
    x = 10,004.38

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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.