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Finding the Fourth Proportional to 13,123.50, 19,685.25 and 12,793.02

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Solution

The fourth proportional to 13,123.50, 19,685.25 and 12,793.02 is: 19,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.50 : 19,685.25 = 12,793.02 : x
  2. Step 2: Convert to fraction form
    13,123.50/19,685.25 = 12,793.02/x
  3. Step 3: Cross multiply
    13,123.50x = 19,685.25 × 12,793.02
  4. Step 4: Simplify right side
    13,123.50x = 251,833,796.96
  5. Step 5: Solve for x
    x = 251,833,796.96/13,123.50
  6. Step 6: Final answer
    x = 19,189.53

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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.