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Finding the Fourth Proportional to 14,496.09, 20,005.01 and 8,208.46

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Solution

The fourth proportional to 14,496.09, 20,005.01 and 8,208.46 is: 11,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.09 : 20,005.01 = 8,208.46 : x
  2. Step 2: Convert to fraction form
    14,496.09/20,005.01 = 8,208.46/x
  3. Step 3: Cross multiply
    14,496.09x = 20,005.01 × 8,208.46
  4. Step 4: Simplify right side
    14,496.09x = 164,210,324.38
  5. Step 5: Solve for x
    x = 164,210,324.38/14,496.09
  6. Step 6: Final answer
    x = 11,327.90

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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.