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Finding the Fourth Proportional to 14,787, 22,195.56 and 7,396.80

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Solution

The fourth proportional to 14,787, 22,195.56 and 7,396.80 is: 11,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787 : 22,195.56 = 7,396.80 : x
  2. Step 2: Convert to fraction form
    14,787/22,195.56 = 7,396.80/x
  3. Step 3: Cross multiply
    14,787x = 22,195.56 × 7,396.80
  4. Step 4: Simplify right side
    14,787x = 164,176,118.21
  5. Step 5: Solve for x
    x = 164,176,118.21/14,787
  6. Step 6: Final answer
    x = 11,102.73

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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.