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Finding the Fourth Proportional to 20,475.81, 28,256.47 and 11,523.39

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Solution

The fourth proportional to 20,475.81, 28,256.47 and 11,523.39 is: 15,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.81 : 28,256.47 = 11,523.39 : x
  2. Step 2: Convert to fraction form
    20,475.81/28,256.47 = 11,523.39/x
  3. Step 3: Cross multiply
    20,475.81x = 28,256.47 × 11,523.39
  4. Step 4: Simplify right side
    20,475.81x = 325,610,323.83
  5. Step 5: Solve for x
    x = 325,610,323.83/20,475.81
  6. Step 6: Final answer
    x = 15,902.20

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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.