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Finding the Fourth Proportional to 14,447.72, 21,667.80 and 4,057.04

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Solution

The fourth proportional to 14,447.72, 21,667.80 and 4,057.04 is: 6,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.72 : 21,667.80 = 4,057.04 : x
  2. Step 2: Convert to fraction form
    14,447.72/21,667.80 = 4,057.04/x
  3. Step 3: Cross multiply
    14,447.72x = 21,667.80 × 4,057.04
  4. Step 4: Simplify right side
    14,447.72x = 87,907,131.31
  5. Step 5: Solve for x
    x = 87,907,131.31/14,447.72
  6. Step 6: Final answer
    x = 6,084.50

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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.