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Finding the Fourth Proportional to 20,970.96, 28,939.32 and 11,539.32

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Solution

The fourth proportional to 20,970.96, 28,939.32 and 11,539.32 is: 15,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.96 : 28,939.32 = 11,539.32 : x
  2. Step 2: Convert to fraction form
    20,970.96/28,939.32 = 11,539.32/x
  3. Step 3: Cross multiply
    20,970.96x = 28,939.32 × 11,539.32
  4. Step 4: Simplify right side
    20,970.96x = 333,940,074.06
  5. Step 5: Solve for x
    x = 333,940,074.06/20,970.96
  6. Step 6: Final answer
    x = 15,923.93

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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.