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Finding the Fourth Proportional to 13,113.29, 19,672.92 and 4,793.29

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Solution

The fourth proportional to 13,113.29, 19,672.92 and 4,793.29 is: 7,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.29 : 19,672.92 = 4,793.29 : x
  2. Step 2: Convert to fraction form
    13,113.29/19,672.92 = 4,793.29/x
  3. Step 3: Cross multiply
    13,113.29x = 19,672.92 × 4,793.29
  4. Step 4: Simplify right side
    13,113.29x = 94,297,985.82
  5. Step 5: Solve for x
    x = 94,297,985.82/13,113.29
  6. Step 6: Final answer
    x = 7,191.03

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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.