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Finding the Fourth Proportional to 14,987.30, 22,477.80 and 7,584.80

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Solution

The fourth proportional to 14,987.30, 22,477.80 and 7,584.80 is: 11,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,987.30 : 22,477.80 = 7,584.80 : x
  2. Step 2: Convert to fraction form
    14,987.30/22,477.80 = 7,584.80/x
  3. Step 3: Cross multiply
    14,987.30x = 22,477.80 × 7,584.80
  4. Step 4: Simplify right side
    14,987.30x = 170,489,617.44
  5. Step 5: Solve for x
    x = 170,489,617.44/14,987.30
  6. Step 6: Final answer
    x = 11,375.61

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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.