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Finding the Fourth Proportional to 20,288.56, 27,994.80 and 11,335.72

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Solution

The fourth proportional to 20,288.56, 27,994.80 and 11,335.72 is: 15,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,288.56 : 27,994.80 = 11,335.72 : x
  2. Step 2: Convert to fraction form
    20,288.56/27,994.80 = 11,335.72/x
  3. Step 3: Cross multiply
    20,288.56x = 27,994.80 × 11,335.72
  4. Step 4: Simplify right side
    20,288.56x = 317,341,214.26
  5. Step 5: Solve for x
    x = 317,341,214.26/20,288.56
  6. Step 6: Final answer
    x = 15,641.39

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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.