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Finding the Fourth Proportional to 14,175.21, 19,560.93 and 8,206.44

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Solution

The fourth proportional to 14,175.21, 19,560.93 and 8,206.44 is: 11,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.21 : 19,560.93 = 8,206.44 : x
  2. Step 2: Convert to fraction form
    14,175.21/19,560.93 = 8,206.44/x
  3. Step 3: Cross multiply
    14,175.21x = 19,560.93 × 8,206.44
  4. Step 4: Simplify right side
    14,175.21x = 160,525,598.39
  5. Step 5: Solve for x
    x = 160,525,598.39/14,175.21
  6. Step 6: Final answer
    x = 11,324.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.