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Finding the Fourth Proportional to 20,032.62, 27,615.51 and 15,770.01

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Solution

The fourth proportional to 20,032.62, 27,615.51 and 15,770.01 is: 21,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.62 : 27,615.51 = 15,770.01 : x
  2. Step 2: Convert to fraction form
    20,032.62/27,615.51 = 15,770.01/x
  3. Step 3: Cross multiply
    20,032.62x = 27,615.51 × 15,770.01
  4. Step 4: Simplify right side
    20,032.62x = 435,496,868.86
  5. Step 5: Solve for x
    x = 435,496,868.86/20,032.62
  6. Step 6: Final answer
    x = 21,739.39

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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.