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Finding the Fourth Proportional to 14,646.74, 20,221.83 and 9,619.86

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Solution

The fourth proportional to 14,646.74, 20,221.83 and 9,619.86 is: 13,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.74 : 20,221.83 = 9,619.86 : x
  2. Step 2: Convert to fraction form
    14,646.74/20,221.83 = 9,619.86/x
  3. Step 3: Cross multiply
    14,646.74x = 20,221.83 × 9,619.86
  4. Step 4: Simplify right side
    14,646.74x = 194,531,173.54
  5. Step 5: Solve for x
    x = 194,531,173.54/14,646.74
  6. Step 6: Final answer
    x = 13,281.53

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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.