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Finding the Fourth Proportional to 13,703.80, 20,543.34 and 4,932.52

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Solution

The fourth proportional to 13,703.80, 20,543.34 and 4,932.52 is: 7,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.80 : 20,543.34 = 4,932.52 : x
  2. Step 2: Convert to fraction form
    13,703.80/20,543.34 = 4,932.52/x
  3. Step 3: Cross multiply
    13,703.80x = 20,543.34 × 4,932.52
  4. Step 4: Simplify right side
    13,703.80x = 101,330,435.42
  5. Step 5: Solve for x
    x = 101,330,435.42/13,703.80
  6. Step 6: Final answer
    x = 7,394.33

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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.