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Finding the Fourth Proportional to 14,911.79, 20,578.23 and 8,538.39

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Solution

The fourth proportional to 14,911.79, 20,578.23 and 8,538.39 is: 11,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.79 : 20,578.23 = 8,538.39 : x
  2. Step 2: Convert to fraction form
    14,911.79/20,578.23 = 8,538.39/x
  3. Step 3: Cross multiply
    14,911.79x = 20,578.23 × 8,538.39
  4. Step 4: Simplify right side
    14,911.79x = 175,704,953.25
  5. Step 5: Solve for x
    x = 175,704,953.25/14,911.79
  6. Step 6: Final answer
    x = 11,782.96

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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.