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Finding the Fourth Proportional to 22,208.68, 30,638.34 and 14,645.32

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Solution

The fourth proportional to 22,208.68, 30,638.34 and 14,645.32 is: 20,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,208.68 : 30,638.34 = 14,645.32 : x
  2. Step 2: Convert to fraction form
    22,208.68/30,638.34 = 14,645.32/x
  3. Step 3: Cross multiply
    22,208.68x = 30,638.34 × 14,645.32
  4. Step 4: Simplify right side
    22,208.68x = 448,708,293.57
  5. Step 5: Solve for x
    x = 448,708,293.57/22,208.68
  6. Step 6: Final answer
    x = 20,204.19

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