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Finding the Fourth Proportional to 14,645.76, 20,209.20 and 8,272.32

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Solution

The fourth proportional to 14,645.76, 20,209.20 and 8,272.32 is: 11,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.76 : 20,209.20 = 8,272.32 : x
  2. Step 2: Convert to fraction form
    14,645.76/20,209.20 = 8,272.32/x
  3. Step 3: Cross multiply
    14,645.76x = 20,209.20 × 8,272.32
  4. Step 4: Simplify right side
    14,645.76x = 167,176,969.34
  5. Step 5: Solve for x
    x = 167,176,969.34/14,645.76
  6. Step 6: Final answer
    x = 11,414.70

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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.