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Finding the Fourth Proportional to 20,844, 28,764.72 and 11,412.59

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Solution

The fourth proportional to 20,844, 28,764.72 and 11,412.59 is: 15,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844 : 28,764.72 = 11,412.59 : x
  2. Step 2: Convert to fraction form
    20,844/28,764.72 = 11,412.59/x
  3. Step 3: Cross multiply
    20,844x = 28,764.72 × 11,412.59
  4. Step 4: Simplify right side
    20,844x = 328,279,812.00
  5. Step 5: Solve for x
    x = 328,279,812.00/20,844
  6. Step 6: Final answer
    x = 15,749.37

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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.