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Finding the Fourth Proportional to 20,197.12, 27,837 and 19,030.72

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Solution

The fourth proportional to 20,197.12, 27,837 and 19,030.72 is: 26,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.12 : 27,837 = 19,030.72 : x
  2. Step 2: Convert to fraction form
    20,197.12/27,837 = 19,030.72/x
  3. Step 3: Cross multiply
    20,197.12x = 27,837 × 19,030.72
  4. Step 4: Simplify right side
    20,197.12x = 529,758,152.64
  5. Step 5: Solve for x
    x = 529,758,152.64/20,197.12
  6. Step 6: Final answer
    x = 26,229.39

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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.