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Finding the Fourth Proportional to 14,641.81, 20,205.56 and 8,676.32

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Solution

The fourth proportional to 14,641.81, 20,205.56 and 8,676.32 is: 11,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.81 : 20,205.56 = 8,676.32 : x
  2. Step 2: Convert to fraction form
    14,641.81/20,205.56 = 8,676.32/x
  3. Step 3: Cross multiply
    14,641.81x = 20,205.56 × 8,676.32
  4. Step 4: Simplify right side
    14,641.81x = 175,309,825.00
  5. Step 5: Solve for x
    x = 175,309,825.00/14,641.81
  6. Step 6: Final answer
    x = 11,973.24

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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.