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Finding the Fourth Proportional to 14,167, 21,241.50 and 6,773.32

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Solution

The fourth proportional to 14,167, 21,241.50 and 6,773.32 is: 10,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,167 : 21,241.50 = 6,773.32 : x
  2. Step 2: Convert to fraction form
    14,167/21,241.50 = 6,773.32/x
  3. Step 3: Cross multiply
    14,167x = 21,241.50 × 6,773.32
  4. Step 4: Simplify right side
    14,167x = 143,875,476.78
  5. Step 5: Solve for x
    x = 143,875,476.78/14,167
  6. Step 6: Final answer
    x = 10,155.68

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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.