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Finding the Fourth Proportional to 14,651.86, 21,974.44 and 6,746.80

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Solution

The fourth proportional to 14,651.86, 21,974.44 and 6,746.80 is: 10,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.86 : 21,974.44 = 6,746.80 : x
  2. Step 2: Convert to fraction form
    14,651.86/21,974.44 = 6,746.80/x
  3. Step 3: Cross multiply
    14,651.86x = 21,974.44 × 6,746.80
  4. Step 4: Simplify right side
    14,651.86x = 148,257,008.19
  5. Step 5: Solve for x
    x = 148,257,008.19/14,651.86
  6. Step 6: Final answer
    x = 10,118.65

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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.