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Finding the Fourth Proportional to 14,495.88, 20,006.10 and 8,208.12

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Solution

The fourth proportional to 14,495.88, 20,006.10 and 8,208.12 is: 11,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,495.88 : 20,006.10 = 8,208.12 : x
  2. Step 2: Convert to fraction form
    14,495.88/20,006.10 = 8,208.12/x
  3. Step 3: Cross multiply
    14,495.88x = 20,006.10 × 8,208.12
  4. Step 4: Simplify right side
    14,495.88x = 164,212,469.53
  5. Step 5: Solve for x
    x = 164,212,469.53/14,495.88
  6. Step 6: Final answer
    x = 11,328.22

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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.