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Finding the Fourth Proportional to 13,999.10, 20,950.05 and 12,832.70

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Solution

The fourth proportional to 13,999.10, 20,950.05 and 12,832.70 is: 19,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.10 : 20,950.05 = 12,832.70 : x
  2. Step 2: Convert to fraction form
    13,999.10/20,950.05 = 12,832.70/x
  3. Step 3: Cross multiply
    13,999.10x = 20,950.05 × 12,832.70
  4. Step 4: Simplify right side
    13,999.10x = 268,845,706.64
  5. Step 5: Solve for x
    x = 268,845,706.64/13,999.10
  6. Step 6: Final answer
    x = 19,204.50

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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.