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Finding the Fourth Proportional to 20,993.69, 28,971.20 and 11,562.24

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Solution

The fourth proportional to 20,993.69, 28,971.20 and 11,562.24 is: 15,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.69 : 28,971.20 = 11,562.24 : x
  2. Step 2: Convert to fraction form
    20,993.69/28,971.20 = 11,562.24/x
  3. Step 3: Cross multiply
    20,993.69x = 28,971.20 × 11,562.24
  4. Step 4: Simplify right side
    20,993.69x = 334,971,909.68
  5. Step 5: Solve for x
    x = 334,971,909.68/20,993.69
  6. Step 6: Final answer
    x = 15,955.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.