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Finding the Fourth Proportional to 18,924.01, 28,364.80 and 7,676.74

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Solution

The fourth proportional to 18,924.01, 28,364.80 and 7,676.74 is: 11,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,924.01 : 28,364.80 = 7,676.74 : x
  2. Step 2: Convert to fraction form
    18,924.01/28,364.80 = 7,676.74/x
  3. Step 3: Cross multiply
    18,924.01x = 28,364.80 × 7,676.74
  4. Step 4: Simplify right side
    18,924.01x = 217,749,014.54
  5. Step 5: Solve for x
    x = 217,749,014.54/18,924.01
  6. Step 6: Final answer
    x = 11,506.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.