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Finding the Fourth Proportional to 14,648.36, 21,987.10 and 8,077.64

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Solution

The fourth proportional to 14,648.36, 21,987.10 and 8,077.64 is: 12,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.36 : 21,987.10 = 8,077.64 : x
  2. Step 2: Convert to fraction form
    14,648.36/21,987.10 = 8,077.64/x
  3. Step 3: Cross multiply
    14,648.36x = 21,987.10 × 8,077.64
  4. Step 4: Simplify right side
    14,648.36x = 177,603,878.44
  5. Step 5: Solve for x
    x = 177,603,878.44/14,648.36
  6. Step 6: Final answer
    x = 12,124.49

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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.