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Finding the Fourth Proportional to 14,611.77, 20,162.76 and 8,642.27

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Solution

The fourth proportional to 14,611.77, 20,162.76 and 8,642.27 is: 11,925.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.77 : 20,162.76 = 8,642.27 : x
  2. Step 2: Convert to fraction form
    14,611.77/20,162.76 = 8,642.27/x
  3. Step 3: Cross multiply
    14,611.77x = 20,162.76 × 8,642.27
  4. Step 4: Simplify right side
    14,611.77x = 174,252,033.86
  5. Step 5: Solve for x
    x = 174,252,033.86/14,611.77
  6. Step 6: Final answer
    x = 11,925.46

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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.