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Finding the Fourth Proportional to 14,642.34, 20,205.63 and 8,674.56

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Solution

The fourth proportional to 14,642.34, 20,205.63 and 8,674.56 is: 11,970.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.34 : 20,205.63 = 8,674.56 : x
  2. Step 2: Convert to fraction form
    14,642.34/20,205.63 = 8,674.56/x
  3. Step 3: Cross multiply
    14,642.34x = 20,205.63 × 8,674.56
  4. Step 4: Simplify right side
    14,642.34x = 175,274,949.77
  5. Step 5: Solve for x
    x = 175,274,949.77/14,642.34
  6. Step 6: Final answer
    x = 11,970.42

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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.