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Finding the Fourth Proportional to 20,012.94, 29,980.53 and 10,759.50

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Solution

The fourth proportional to 20,012.94, 29,980.53 and 10,759.50 is: 16,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,012.94 : 29,980.53 = 10,759.50 : x
  2. Step 2: Convert to fraction form
    20,012.94/29,980.53 = 10,759.50/x
  3. Step 3: Cross multiply
    20,012.94x = 29,980.53 × 10,759.50
  4. Step 4: Simplify right side
    20,012.94x = 322,575,512.54
  5. Step 5: Solve for x
    x = 322,575,512.54/20,012.94
  6. Step 6: Final answer
    x = 16,118.35

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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.