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Finding the Fourth Proportional to 14,926.86, 20,479.37 and 14,538.78

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Solution

The fourth proportional to 14,926.86, 20,479.37 and 14,538.78 is: 19,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,926.86 : 20,479.37 = 14,538.78 : x
  2. Step 2: Convert to fraction form
    14,926.86/20,479.37 = 14,538.78/x
  3. Step 3: Cross multiply
    14,926.86x = 20,479.37 × 14,538.78
  4. Step 4: Simplify right side
    14,926.86x = 297,744,982.27
  5. Step 5: Solve for x
    x = 297,744,982.27/14,926.86
  6. Step 6: Final answer
    x = 19,946.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.