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Finding the Fourth Proportional to 14,496.57, 20,005.26 and 8,208.95

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Solution

The fourth proportional to 14,496.57, 20,005.26 and 8,208.95 is: 11,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.57 : 20,005.26 = 8,208.95 : x
  2. Step 2: Convert to fraction form
    14,496.57/20,005.26 = 8,208.95/x
  3. Step 3: Cross multiply
    14,496.57x = 20,005.26 × 8,208.95
  4. Step 4: Simplify right side
    14,496.57x = 164,222,079.05
  5. Step 5: Solve for x
    x = 164,222,079.05/14,496.57
  6. Step 6: Final answer
    x = 11,328.34

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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.