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Finding the Fourth Proportional to 13,933.69, 20,903.72 and 4,574.50

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Solution

The fourth proportional to 13,933.69, 20,903.72 and 4,574.50 is: 6,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,933.69 : 20,903.72 = 4,574.50 : x
  2. Step 2: Convert to fraction form
    13,933.69/20,903.72 = 4,574.50/x
  3. Step 3: Cross multiply
    13,933.69x = 20,903.72 × 4,574.50
  4. Step 4: Simplify right side
    13,933.69x = 95,623,992.01
  5. Step 5: Solve for x
    x = 95,623,992.01/13,933.69
  6. Step 6: Final answer
    x = 6,862.79

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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.